461498572800 has 1008 divisors, whose sum is σ = 1740167921232. Its totient is φ = 116785152000.

The previous prime is 461498572793. The next prime is 461498572891. The reversal of 461498572800 is 8275894164.

It is a happy number.

461498572800 is a `hidden beast` number, since 4 + 6 + 1 + 498 + 5 + 72 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4569292750 + ... + 4569292850.

Almost surely, 2^461498572800 is an apocalyptic number.

461498572800 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 461498572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870083960616).

461498572800 is an abundant number, since it is smaller than the sum of its proper divisors (1278669348432).

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

461498572800 is a wasteful number, since it uses less digits than its factorization.

461498572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 461498572800 in words is "four hundred sixty-one billion, four hundred ninety-eight million, five hundred seventy-two thousand, eight hundred".