460716048 has 240 divisors, whose sum is σ = 1520902656. Its totient is φ = 128839680.

The previous prime is 460716041. The next prime is 460716049. The reversal of 460716048 is 840617064.

460716048 is a `hidden beast` number, since 4 + 607 + 1 + 6 + 0 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (460716041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986311 + ... + 986777.

Almost surely, 2^460716048 is an apocalyptic number.

460716048 is a gapful number since it is divisible by the number (48) 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 460716048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760451328).

460716048 is an abundant number, since it is smaller than the sum of its proper divisors (1060186608).

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

460716048 is a wasteful number, since it uses less digits than its factorization.

460716048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 460716048 is about 21464.2970534793. The cubic root of 460716048 is about 772.3445981430.

The spelling of 460716048 in words is "four hundred sixty million, seven hundred sixteen thousand, forty-eight".