465257520 has 480 divisors, whose sum is σ = 2001871872. Its totient is φ = 97790976.

The previous prime is 465257509. The next prime is 465257561. The reversal of 465257520 is 25752564.

465257520 is a `hidden beast` number, since 4 + 65 + 2 + 575 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1768909 + ... + 1769171.

Almost surely, 2^465257520 is an apocalyptic number.

465257520 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 465257520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000935936).

465257520 is an abundant number, since it is smaller than the sum of its proper divisors (1536614352).

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

465257520 is a wasteful number, since it uses less digits than its factorization.

465257520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 465257520 is about 21569.8289283898. The cubic root of 465257520 is about 774.8740801317.

It can be divided in two parts, 46525 and 7520, that added together give a palindrome (54045).

The spelling of 465257520 in words is "four hundred sixty-five million, two hundred fifty-seven thousand, five hundred twenty".