461332972800 has 1296 divisors, whose sum is σ = 2019342753792. Its totient is φ = 101971353600.

The previous prime is 461332972777. The next prime is 461332972823. The reversal of 461332972800 is 8279233164.

461332972800 is a `hidden beast` number, since 4 + 613 + 3 + 2 + 9 + 7 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461332972777) and next prime (461332972823).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×461332972800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337477717 + ... + 337479083.

Almost surely, 2^461332972800 is an apocalyptic number.

461332972800 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 461332972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009671376896).

461332972800 is an abundant number, since it is smaller than the sum of its proper divisors (1558009780992).

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

461332972800 is a wasteful number, since it uses less digits than its factorization.

461332972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 461332972800 in words is "four hundred sixty-one billion, three hundred thirty-two million, nine hundred seventy-two thousand, eight hundred".