460245344 has 96 divisors (see below), whose sum is σ = 1021144320. Its totient is φ = 202752000.

The previous prime is 460245319. The next prime is 460245347. The reversal of 460245344 is 443542064.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 460245344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460245347) 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, 1147544 + ... + 1147944.

It is an arithmetic number, because the mean of its divisors is an integer number (10636920).

Almost surely, 2^460245344 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 460245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510572160).

460245344 is an abundant number, since it is smaller than the sum of its proper divisors (560898976).

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

460245344 is a wasteful number, since it uses less digits than its factorization.

460245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 460245344 is about 21453.3294385743. The cubic root of 460245344 is about 772.0814790464.

The spelling of 460245344 in words is "four hundred sixty million, two hundred forty-five thousand, three hundred forty-four".