464925744 has 200 divisors, whose sum is σ = 1440384000. Its totient is φ = 144353664.

The previous prime is 464925733. The next prime is 464925859. The reversal of 464925744 is 447529464.

It is a super-4 number, since 4×464925744⁴ (a number of 36 digits) contains 4444 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 464925744.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1945177 + ... + 1945415.

It is an arithmetic number, because the mean of its divisors is an integer number (7201920).

Almost surely, 2^464925744 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 464925744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192000).

464925744 is an abundant number, since it is smaller than the sum of its proper divisors (975458256).

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

464925744 is a wasteful number, since it uses less digits than its factorization.

464925744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 464925744 is about 21562.1368143327. The cubic root of 464925744 is about 774.6898482850.

The spelling of 464925744 in words is "four hundred sixty-four million, nine hundred twenty-five thousand, seven hundred forty-four".