461253175680 has 256 divisors, whose sum is σ = 1659212294400. Its totient is φ = 107962982400.

The previous prime is 461253175601. The next prime is 461253175711. The reversal of 461253175680 is 86571352164.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235935 + ... + 989025.

It is an arithmetic number, because the mean of its divisors is an integer number (6481298025).

Almost surely, 2^461253175680 is an apocalyptic number.

461253175680 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 461253175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829606147200).

461253175680 is an abundant number, since it is smaller than the sum of its proper divisors (1197959118720).

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

461253175680 is a wasteful number, since it uses less digits than its factorization.

461253175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753153 (or 753141 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 461253175680 in words is "four hundred sixty-one billion, two hundred fifty-three million, one hundred seventy-five thousand, six hundred eighty".