465227600 has 30 divisors (see below), whose sum is σ = 1117710270. Its totient is φ = 186090880.

The previous prime is 465227569. The next prime is 465227629. The reversal of 465227600 is 6722564.

It can be written as a sum of positive squares in 3 ways, for example, as 38887696 + 426339904 = 6236^2 + 20648^2 .

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 5 ways as a sum of consecutive naturals, for example, 581135 + ... + 581934.

It is an arithmetic number, because the mean of its divisors is an integer number (37257009).

Almost surely, 2^465227600 is an apocalyptic number.

465227600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465227600 is an abundant number, since it is smaller than the sum of its proper divisors (652482670).

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

465227600 is a wasteful number, since it uses less digits than its factorization.

465227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163087 (or 1163076 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 465227600 is about 21569.1353558737. The cubic root of 465227600 is about 774.8574694530.

The spelling of 465227600 in words is "four hundred sixty-five million, two hundred twenty-seven thousand, six hundred".