460537399042560 has 3840 divisors, whose sum is σ = 2014657178688000. Its totient is φ = 100553799499776.

The previous prime is 460537399042387. The next prime is 460537399042573. The reversal of 460537399042560 is 65240993735064.

460537399042560 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 37 + 39 + 9 + 0 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×460537399042560² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

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 383 ways as a sum of consecutive naturals, for example, 598878281856 + ... + 598878282624.

It is an arithmetic number, because the mean of its divisors is an integer number (524650306950).

Almost surely, 2^{460537399042560} is an apocalyptic number.

460537399042560 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 460537399042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007328589344000).

460537399042560 is an abundant number, since it is smaller than the sum of its proper divisors (1554119779645440).

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

460537399042560 is an frugal number, since it uses more digits than its factorization.

460537399042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 460537399042560 in words is "four hundred sixty trillion, five hundred thirty-seven billion, three hundred ninety-nine million, forty-two thousand, five hundred sixty".