461293056000 has 1560 divisors, whose sum is σ = 2009354654736. Its totient is φ = 104973926400.

The previous prime is 461293055983. The next prime is 461293056023. The reversal of 461293056000 is 650392164.

It is a happy number.

461293056000 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 93 + 0 + 560 + 0 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 2032127887 + ... + 2032128113.

Almost surely, 2^461293056000 is an apocalyptic number.

461293056000 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 461293056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004677327368).

461293056000 is an abundant number, since it is smaller than the sum of its proper divisors (1548061598736).

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

461293056000 is an equidigital number, since it uses as much as digits as its factorization.

461293056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 461293056000 in words is "four hundred sixty-one billion, two hundred ninety-three million, fifty-six thousand".