460834560 has 216 divisors, whose sum is σ = 1613451840. Its totient is φ = 121430016.

The previous prime is 460834553. The next prime is 460834573. The reversal of 460834560 is 65438064.

460834560 is a `hidden beast` number, since 4 + 60 + 8 + 34 + 560 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255497 + ... + 1255863.

Almost surely, 2^460834560 is an apocalyptic number.

460834560 is a gapful number since it is divisible by the number (40) 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 460834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806725920).

460834560 is an abundant number, since it is smaller than the sum of its proper divisors (1152617280).

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

460834560 is a wasteful number, since it uses less digits than its factorization.

460834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 460834560 is about 21467.0575533770. The cubic root of 460834560 is about 772.4108169895.

The spelling of 460834560 in words is "four hundred sixty million, eight hundred thirty-four thousand, five hundred sixty".