465662925 has 270 divisors, whose sum is σ = 1140446538. Its totient is φ = 186157440.

The previous prime is 465662917. The next prime is 465662969. The reversal of 465662925 is 529266564.

It is a happy number.

465662925 is a `hidden beast` number, since 46 + 566 + 29 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1432809 + 464230116 = 1197^2 + 21546^2 .

It is not a de Polignac number, because 465662925 - 2³ = 465662917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 24508566 + ... + 24508584.

Almost surely, 2^465662925 is an apocalyptic number.

465662925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465662925 is an abundant number, since it is smaller than the sum of its proper divisors (674783613).

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

465662925 is a wasteful number, since it uses less digits than its factorization.

465662925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 465662925 is about 21579.2243836520. The cubic root of 465662925 is about 775.0990785573.

The spelling of 465662925 in words is "four hundred sixty-five million, six hundred sixty-two thousand, nine hundred twenty-five".