466532312400 has 1080 divisors, whose sum is σ = 2175542613504. Its totient is φ = 91232870400.

The previous prime is 466532312371. The next prime is 466532312401. The reversal of 466532312400 is 4213235664.

466532312400 is a `hidden beast` number, since 466 + 53 + 23 + 124 + 0 + 0 = 666.

It is a super-3 number, since 3×466532312400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466532312401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32979729 + ... + 32993871.

Almost surely, 2^466532312400 is an apocalyptic number.

466532312400 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 466532312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087771306752).

466532312400 is an abundant number, since it is smaller than the sum of its proper divisors (1709010301104).

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

466532312400 is a wasteful number, since it uses less digits than its factorization.

466532312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14209 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 466532312400 in words is "four hundred sixty-six billion, five hundred thirty-two million, three hundred twelve thousand, four hundred".