464520960 has 144 divisors (see below), whose sum is σ = 1648526880. Its totient is φ = 123863040.

The previous prime is 464520941. The next prime is 464520961. The reversal of 464520960 is 69025464.

464520960 is a `hidden beast` number, since 4 + 645 + 2 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (464520961) 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, 27840 + ... + 41280.

Almost surely, 2^464520960 is an apocalyptic number.

464520960 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 464520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824263440).

464520960 is an abundant number, since it is smaller than the sum of its proper divisors (1184005920).

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

464520960 is a wasteful number, since it uses less digits than its factorization.

464520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13471 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 464520960 is about 21552.7483166301. The cubic root of 464520960 is about 774.4649570993.

The spelling of 464520960 in words is "four hundred sixty-four million, five hundred twenty thousand, nine hundred sixty".