465157107 has 32 divisors (see below), whose sum is σ = 726924800. Its totient is φ = 293162976.

The previous prime is 465157103. The next prime is 465157153. The reversal of 465157107 is 701751564.

It is not a de Polignac number, because 465157107 - 2² = 465157103 is a prime.

It is a super-2 number, since 2×465157107² = 432742268385218898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465157103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437058 + ... + 438120.

It is an arithmetic number, because the mean of its divisors is an integer number (22716400).

Almost surely, 2^465157107 is an apocalyptic number.

465157107 is a deficient number, since it is larger than the sum of its proper divisors (261767693).

465157107 is a wasteful number, since it uses less digits than its factorization.

465157107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 465157107 is about 21567.5011765387. The cubic root of 465157107 is about 774.8183310566.

The spelling of 465157107 in words is "four hundred sixty-five million, one hundred fifty-seven thousand, one hundred seven".