465157152 has 72 divisors (see below), whose sum is σ = 1380322944. Its totient is φ = 148308864.

The previous prime is 465157103. The next prime is 465157153. The reversal of 465157152 is 251751564.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×465157152² = 432742352113502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (465157153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28488 + ... + 41735.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152).

Almost surely, 2^465157152 is an apocalyptic number.

It is an amenable number.

465157152 is an abundant number, since it is smaller than the sum of its proper divisors (915165792).

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

465157152 is a wasteful number, since it uses less digits than its factorization.

465157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70262 (or 70251 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 465157152 is about 21567.5022197750. The cubic root of 465157152 is about 774.8183560423.

The spelling of 465157152 in words is "four hundred sixty-five million, one hundred fifty-seven thousand, one hundred fifty-two".