465654560 has 96 divisors (see below), whose sum is σ = 1261733760. Its totient is φ = 159086592.

The previous prime is 465654559. The next prime is 465654601. The reversal of 465654560 is 65456564.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423932 + ... + 425028.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2^465654560 is an apocalyptic number.

465654560 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 465654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630866880).

465654560 is an abundant number, since it is smaller than the sum of its proper divisors (796079200).

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

465654560 is a wasteful number, since it uses less digits than its factorization.

465654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The square root of 465654560 is about 21579.0305620989. The cubic root of 465654560 is about 775.0944373299.

The spelling of 465654560 in words is "four hundred sixty-five million, six hundred fifty-four thousand, five hundred sixty".