460761423756480 has 4032 divisors, whose sum is σ = 2140645454438400. Its totient is φ = 88841384755200.

The previous prime is 460761423756433. The next prime is 460761423756503. The reversal of 460761423756480 is 84657324167064.

460761423756480 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 6 + 1 + 423 + 75 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×460761423756480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 357456495676 + ... + 357456496964.

It is an arithmetic number, because the mean of its divisors is an integer number (530914051200).

Almost surely, 2^{460761423756480} is an apocalyptic number.

460761423756480 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 460761423756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070322727219200).

460761423756480 is an abundant number, since it is smaller than the sum of its proper divisors (1679884030681920).

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

460761423756480 is a wasteful number, since it uses less digits than its factorization.

460761423756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 460761423756480 in words is "four hundred sixty trillion, seven hundred sixty-one billion, four hundred twenty-three million, seven hundred fifty-six thousand, four hundred eighty".