465244560 has 400 divisors, whose sum is σ = 1808402112. Its totient is φ = 109900800.

The previous prime is 465244553. The next prime is 465244567. The reversal of 465244560 is 65442564.

465244560 is a `hidden beast` number, since 4 + 6 + 52 + 44 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (465244553) and next prime (465244567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465244567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4348027 + ... + 4348133.

Almost surely, 2^465244560 is an apocalyptic number.

465244560 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 465244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904201056).

465244560 is an abundant number, since it is smaller than the sum of its proper divisors (1343157552).

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

465244560 is a wasteful number, since it uses less digits than its factorization.

465244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 465244560 is about 21569.5285066688. The cubic root of 465244560 is about 774.8668852192.

It can be divided in two parts, 465 and 244560, that added together give a square (245025 = 495²).

The spelling of 465244560 in words is "four hundred sixty-five million, two hundred forty-four thousand, five hundred sixty".