460987055748720 has 560 divisors, whose sum is σ = 1640691674116320. Its totient is φ = 120373483290624.

The previous prime is 460987055748689. The next prime is 460987055748761. The reversal of 460987055748720 is 27847550789064.

It is a happy number.

460987055748720 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 8 + 7 + 0 + 557 + 48 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 591383544 + ... + 592162536.

It is an arithmetic number, because the mean of its divisors is an integer number (2929806560922).

Almost surely, 2^{460987055748720} is an apocalyptic number.

460987055748720 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 460987055748720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820345837058160).

460987055748720 is an abundant number, since it is smaller than the sum of its proper divisors (1179704618367600).

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

460987055748720 is a wasteful number, since it uses less digits than its factorization.

460987055748720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779236 (or 779215 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 460987055748720 in words is "four hundred sixty trillion, nine hundred eighty-seven billion, fifty-five million, seven hundred forty-eight thousand, seven hundred twenty".