460257372 has 72 divisors (see below), whose sum is σ = 1205672832. Its totient is φ = 147888000.

The previous prime is 460257299. The next prime is 460257377. The reversal of 460257372 is 273752064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460257377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353122 + ... + 354422.

It is an arithmetic number, because the mean of its divisors is an integer number (16745456).

Almost surely, 2^460257372 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 460257372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602836416).

460257372 is an abundant number, since it is smaller than the sum of its proper divisors (745415460).

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

460257372 is a wasteful number, since it uses less digits than its factorization.

460257372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 460257372 is about 21453.6097661909. The cubic root of 460257372 is about 772.0882048179.

The spelling of 460257372 in words is "four hundred sixty million, two hundred fifty-seven thousand, three hundred seventy-two".