464959132070400 has 1200 divisors, whose sum is σ = 1878144981340320. Its totient is φ = 112665953894400.

The previous prime is 464959132070233. The next prime is 464959132070417. The reversal of 464959132070400 is 4070231959464.

464959132070400 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 591 + 3 + 2 + 0 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28956779172 + ... + 28956795228.

Almost surely, 2^{464959132070400} is an apocalyptic number.

464959132070400 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 464959132070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939072490670160).

464959132070400 is an abundant number, since it is smaller than the sum of its proper divisors (1413185849269920).

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

464959132070400 is a wasteful number, since it uses less digits than its factorization.

464959132070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18647 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 464959132070400 in words is "four hundred sixty-four trillion, nine hundred fifty-nine billion, one hundred thirty-two million, seventy thousand, four hundred".