460877472 has 192 divisors, whose sum is σ = 1489259520. Its totient is φ = 137491200.

The previous prime is 460877467. The next prime is 460877477. The reversal of 460877472 is 274778064.

It is an interprime number because it is at equal distance from previous prime (460877467) and next prime (460877477).

It is a super-2 number, since 2×460877472² = 424816088394221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460877477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674443 + ... + 675125.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^460877472 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 460877472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

460877472 is an abundant number, since it is smaller than the sum of its proper divisors (1028382048).

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

460877472 is a wasteful number, since it uses less digits than its factorization.

460877472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 460877472 is about 21468.0570150165. The cubic root of 460877472 is about 772.4347913663.

The spelling of 460877472 in words is "four hundred sixty million, eight hundred seventy-seven thousand, four hundred seventy-two".