465988560 has 160 divisors (see below), whose sum is σ = 1481155200. Its totient is φ = 121165824.

The previous prime is 465988553. The next prime is 465988571. The reversal of 465988560 is 65889564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968002 + ... + 2968158.

It is an arithmetic number, because the mean of its divisors is an integer number (9257220).

Almost surely, 2^465988560 is an apocalyptic number.

465988560 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 465988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740577600).

465988560 is an abundant number, since it is smaller than the sum of its proper divisors (1015166640).

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

465988560 is a wasteful number, since it uses less digits than its factorization.

465988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 465988560 is about 21586.7681694134. The cubic root of 465988560 is about 775.2797103434.

The spelling of 465988560 in words is "four hundred sixty-five million, nine hundred eighty-eight thousand, five hundred sixty".