464185072 has 80 divisors (see below), whose sum is σ = 1007657728. Its totient is φ = 205701120.

The previous prime is 464185031. The next prime is 464185081. The reversal of 464185072 is 270581464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244278 + ... + 1244650.

Almost surely, 2^464185072 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 464185072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503828864).

464185072 is an abundant number, since it is smaller than the sum of its proper divisors (543472656).

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

464185072 is a wasteful number, since it uses less digits than its factorization.

464185072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 464185072 is about 21544.9546762113. The cubic root of 464185072 is about 774.2782441680.

The spelling of 464185072 in words is "four hundred sixty-four million, one hundred eighty-five thousand, seventy-two".