460543467212400 has 960 divisors, whose sum is σ = 1739940026711040. Its totient is φ = 102657930854400.

The previous prime is 460543467212369. The next prime is 460543467212417. The reversal of 460543467212400 is 4212764345064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 460543467212400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63637341582 + ... + 63637348818.

It is an arithmetic number, because the mean of its divisors is an integer number (1812437527824).

Almost surely, 2^{460543467212400} is an apocalyptic number.

460543467212400 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 460543467212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869970013355520).

460543467212400 is an abundant number, since it is smaller than the sum of its proper divisors (1279396559498640).

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

460543467212400 is a wasteful number, since it uses less digits than its factorization.

460543467212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 460543467212400 in words is "four hundred sixty trillion, five hundred forty-three billion, four hundred sixty-seven million, two hundred twelve thousand, four hundred".