464757072 has 80 divisors (see below), whose sum is σ = 1323123648. Its totient is φ = 139668480.

The previous prime is 464757049. The next prime is 464757121. The reversal of 464757072 is 270757464.

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, 18172 + ... + 35492.

Almost surely, 2^464757072 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 464757072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661561824).

464757072 is an abundant number, since it is smaller than the sum of its proper divisors (858366576).

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

464757072 is a wasteful number, since it uses less digits than its factorization.

464757072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17388 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 464757072 is about 21558.2251588576. The cubic root of 464757072 is about 774.5961528273.

The spelling of 464757072 in words is "four hundred sixty-four million, seven hundred fifty-seven thousand, seventy-two".