464927008 has 192 divisors, whose sum is σ = 1192181760. Its totient is φ = 173601792.

The previous prime is 464926993. The next prime is 464927053. The reversal of 464927008 is 800729464.

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, 5885113 + ... + 5885191.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^464927008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464927008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

464927008 is an abundant number, since it is smaller than the sum of its proper divisors (727254752).

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

464927008 is a wasteful number, since it uses less digits than its factorization.

464927008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 464927008 is about 21562.1661249514. The cubic root of 464927008 is about 774.6905503377.

The spelling of 464927008 in words is "four hundred sixty-four million, nine hundred twenty-seven thousand, eight".