1150434880 has 112 divisors (see below), whose sum is σ = 3315102336. Its totient is φ = 371220480.

The previous prime is 1150434871. The next prime is 1150434889. The reversal of 1150434880 is 884340511.

1150434880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1150434871) and next prime (1150434889).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1150434880² = 2647000826241228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1150434889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22975 + ... + 53185.

It is an arithmetic number, because the mean of its divisors is an integer number (29599128).

Almost surely, 2^1150434880 is an apocalyptic number.

1150434880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657551168).

1150434880 is an abundant number, since it is smaller than the sum of its proper divisors (2164667456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1150434880 is a wasteful number, since it uses less digits than its factorization.

1150434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30252 (or 30242 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1150434880 is about 33918.0612653495. The cubic root of 1150434880 is about 1047.8216000740.

The spelling of 1150434880 in words is "one billion, one hundred fifty million, four hundred thirty-four thousand, eight hundred eighty".