465130944 has 224 divisors, whose sum is σ = 1489049600. Its totient is φ = 141834240.

The previous prime is 465130943. The next prime is 465130979. The reversal of 465130944 is 449031564.

It is a super-2 number, since 2×465130944² = 432693590132662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 465130899 and 465130908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465130943) 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, 1017564 + ... + 1018020.

Almost surely, 2^465130944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744524800).

465130944 is an abundant number, since it is smaller than the sum of its proper divisors (1023918656).

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

465130944 is a wasteful number, since it uses less digits than its factorization.

465130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 465130944 is about 21566.8946304284. The cubic root of 465130944 is about 774.8038040995.

The spelling of 465130944 in words is "four hundred sixty-five million, one hundred thirty thousand, nine hundred forty-four".