460533372 has 48 divisors (see below), whose sum is σ = 1165063200. Its totient is φ = 140744448.

The previous prime is 460533329. The next prime is 460533373. The reversal of 460533372 is 273335064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460533373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13338 + ... + 33150.

It is an arithmetic number, because the mean of its divisors is an integer number (24272150).

Almost surely, 2^460533372 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 460533372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582531600).

460533372 is an abundant number, since it is smaller than the sum of its proper divisors (704529828).

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

460533372 is a wasteful number, since it uses less digits than its factorization.

460533372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19982 (or 19980 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 460533372 is about 21460.0412860740. The cubic root of 460533372 is about 772.2425052711.

The spelling of 460533372 in words is "four hundred sixty million, five hundred thirty-three thousand, three hundred seventy-two".