1148282400 has 72 divisors (see below), whose sum is σ = 3737667024. Its totient is φ = 306208000.

The previous prime is 1148282393. The next prime is 1148282407. The reversal of 1148282400 is 42828411.

It is an interprime number because it is at equal distance from previous prime (1148282393) and next prime (1148282407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1148282407) 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 11 ways as a sum of consecutive naturals, for example, 236826 + ... + 241625.

It is an arithmetic number, because the mean of its divisors is an integer number (51912042).

Almost surely, 2^1148282400 is an apocalyptic number.

1148282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148282400 is an abundant number, since it is smaller than the sum of its proper divisors (2589384624).

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

1148282400 is a wasteful number, since it uses less digits than its factorization.

1148282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478474 (or 478461 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1148282400 is about 33886.3158221722. The cubic root of 1148282400 is about 1047.1676957176.

The spelling of 1148282400 in words is "one billion, one hundred forty-eight million, two hundred eighty-two thousand, four hundred".