464507376 has 80 divisors (see below), whose sum is σ = 1221350400. Its totient is φ = 152103424.

The previous prime is 464507369. The next prime is 464507387. The reversal of 464507376 is 673705464.

It is a happy number.

It is a congruent number.

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, 969505 + ... + 969983.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 2^464507376 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 464507376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

464507376 is an abundant number, since it is smaller than the sum of its proper divisors (756843024).

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

464507376 is a wasteful number, since it uses less digits than its factorization.

464507376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 464507376 is about 21552.4331805019. The cubic root of 464507376 is about 774.4574077919.

The spelling of 464507376 in words is "four hundred sixty-four million, five hundred seven thousand, three hundred seventy-six".