465464560 has 80 divisors (see below), whose sum is σ = 1192504032. Its totient is φ = 167552000.

The previous prime is 465464557. The next prime is 465464561. The reversal of 465464560 is 65464564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465464561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86262 + ... + 91498.

Almost surely, 2^465464560 is an apocalyptic number.

465464560 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 465464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596252016).

465464560 is an abundant number, since it is smaller than the sum of its proper divisors (727039472).

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

465464560 is a wasteful number, since it uses less digits than its factorization.

465464560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 465464560 is about 21574.6276908780. The cubic root of 465464560 is about 774.9890029657.

The spelling of 465464560 in words is "four hundred sixty-five million, four hundred sixty-four thousand, five hundred sixty".