460841472 has 360 divisors, whose sum is σ = 1676791116. Its totient is φ = 120766464.

The previous prime is 460841431. The next prime is 460841489. The reversal of 460841472 is 274148064.

460841472 is a `hidden beast` number, since 4 + 608 + 4 + 1 + 47 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420086016 + 40755456 = 20496^2 + 6384^2 .

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

460841472 is a modest number, since divided by 41472 gives 4608 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935218 + ... + 2935374.

Almost surely, 2^460841472 is an apocalyptic number.

460841472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838395558).

460841472 is an abundant number, since it is smaller than the sum of its proper divisors (1215949644).

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

460841472 is a wasteful number, since it uses less digits than its factorization.

460841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 460841472 is about 21467.2185436307. The cubic root of 460841472 is about 772.4146787346.

It can be divided in two parts, 4608 and 41472, that multiplied together give a 6-th power (191102976 = 24⁶).

The spelling of 460841472 in words is "four hundred sixty million, eight hundred forty-one thousand, four hundred seventy-two".