465307920 has 540 divisors, whose sum is σ = 2016394380. Its totient is φ = 95800320.

The previous prime is 465307903. The next prime is 465307951. The reversal of 465307920 is 29703564.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 218566656 = 15708^2 + 14784^2 .

It is a super-2 number, since 2×465307920² = 433022920829452800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268826 + ... + 4268934.

Almost surely, 2^465307920 is an apocalyptic number.

465307920 is a gapful number since it is divisible by the number (40) 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 465307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008197190).

465307920 is an abundant number, since it is smaller than the sum of its proper divisors (1551086460).

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

465307920 is a wasteful number, since it uses less digits than its factorization.

465307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 465307920 is about 21570.9971953083. The cubic root of 465307920 is about 774.9020590765.

The spelling of 465307920 in words is "four hundred sixty-five million, three hundred seven thousand, nine hundred twenty".