464326560 has 192 divisors, whose sum is σ = 1710979200. Its totient is φ = 117282816.

The previous prime is 464326547. The next prime is 464326561. The reversal of 464326560 is 65623464.

464326560 is a `hidden beast` number, since 4 + 64 + 32 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464326561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79252 + ... + 84908.

It is an arithmetic number, because the mean of its divisors is an integer number (8911350).

Almost surely, 2^464326560 is an apocalyptic number.

464326560 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 464326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855489600).

464326560 is an abundant number, since it is smaller than the sum of its proper divisors (1246652640).

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

464326560 is a wasteful number, since it uses less digits than its factorization.

464326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 464326560 is about 21548.2379790089. The cubic root of 464326560 is about 774.3569052869.

The spelling of 464326560 in words is "four hundred sixty-four million, three hundred twenty-six thousand, five hundred sixty".