464617944 has 224 divisors, whose sum is σ = 1573920000. Its totient is φ = 125551296.

The previous prime is 464617931. The next prime is 464618017. The reversal of 464617944 is 449716464.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464617944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 775357 + ... + 775955.

Almost surely, 2^464617944 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 464617944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786960000).

464617944 is an abundant number, since it is smaller than the sum of its proper divisors (1109302056).

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

464617944 is a wasteful number, since it uses less digits than its factorization.

464617944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 464617944 is about 21554.9981210855. The cubic root of 464617944 is about 774.5188516769.

The spelling of 464617944 in words is "four hundred sixty-four million, six hundred seventeen thousand, nine hundred forty-four".