460496393280 has 672 divisors, whose sum is σ = 1977562199808. Its totient is φ = 95551488000.

The previous prime is 460496393257. The next prime is 460496393347. The reversal of 460496393280 is 82393694064.

460496393280 is a `hidden beast` number, since 4 + 60 + 496 + 3 + 93 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255688380 + ... + 255690180.

Almost surely, 2^460496393280 is an apocalyptic number.

460496393280 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 460496393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988781099904).

460496393280 is an abundant number, since it is smaller than the sum of its proper divisors (1517065806528).

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

460496393280 is a wasteful number, since it uses less digits than its factorization.

460496393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

It can be divided in two parts, 460496 and 393280, that added together give a square (853776 = 924²).

The spelling of 460496393280 in words is "four hundred sixty billion, four hundred ninety-six million, three hundred ninety-three thousand, two hundred eighty".