464523660325400 has 192 divisors, whose sum is σ = 1203237228513600. Its totient is φ = 165597293352960.

The previous prime is 464523660325379. The next prime is 464523660325453. The reversal of 464523660325400 is 4523066325464.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561604589 + ... + 3561735011.

It is an arithmetic number, because the mean of its divisors is an integer number (6266860565175).

Almost surely, 2^{464523660325400} is an apocalyptic number.

464523660325400 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 464523660325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601618614256800).

464523660325400 is an abundant number, since it is smaller than the sum of its proper divisors (738713568188200).

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

464523660325400 is a wasteful number, since it uses less digits than its factorization.

464523660325400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177718 (or 177709 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 50.

The spelling of 464523660325400 in words is "four hundred sixty-four trillion, five hundred twenty-three billion, six hundred sixty million, three hundred twenty-five thousand, four hundred".