461670451200 has 2304 divisors, whose sum is σ = 2131863552000. Its totient is φ = 96745881600.

The previous prime is 461670451163. The next prime is 461670451259. The reversal of 461670451200 is 2154076164.

461670451200 is a `hidden beast` number, since 46 + 167 + 0 + 451 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×461670451200² (a number of 24 digits) contains 22 as substring.

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

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, 14892595185 + ... + 14892595215.

It is an arithmetic number, because the mean of its divisors is an integer number (925288000).

Almost surely, 2^461670451200 is an apocalyptic number.

461670451200 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 461670451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065931776000).

461670451200 is an abundant number, since it is smaller than the sum of its proper divisors (1670193100800).

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

461670451200 is an equidigital number, since it uses as much as digits as its factorization.

461670451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 461670451200 in words is "four hundred sixty-one billion, six hundred seventy million, four hundred fifty-one thousand, two hundred".