1150461312 has 512 divisors, whose sum is σ = 4260695040. Its totient is φ = 265420800.

The previous prime is 1150461307. The next prime is 1150461337. The reversal of 1150461312 is 2131640511.

It is a happy number.

It is a super-2 number, since 2×1150461312² = 2647122460817522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15759708 + ... + 15759780.

It is an arithmetic number, because the mean of its divisors is an integer number (8321670).

Almost surely, 2^1150461312 is an apocalyptic number.

1150461312 is a gapful number since it is divisible by the number (12) 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 1150461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130347520).

1150461312 is an abundant number, since it is smaller than the sum of its proper divisors (3110233728).

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

1150461312 is a wasteful number, since it uses less digits than its factorization.

1150461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1150461312 is about 33918.4509080235. The cubic root of 1150461312 is about 1047.8296248100.

The spelling of 1150461312 in words is "one billion, one hundred fifty million, four hundred sixty-one thousand, three hundred twelve".