461240196480 has 512 divisors, whose sum is σ = 1885101004800. Its totient is φ = 104399953920.

The previous prime is 461240196467. The next prime is 461240196503. The reversal of 461240196480 is 84691042164.

461240196480 is a `hidden beast` number, since 4 + 61 + 24 + 0 + 1 + 96 + 480 = 666.

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 63 ways as a sum of consecutive naturals, for example, 12440370 + ... + 12477390.

It is an arithmetic number, because the mean of its divisors is an integer number (3681837900).

Almost surely, 2^461240196480 is an apocalyptic number.

461240196480 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 461240196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942550502400).

461240196480 is an abundant number, since it is smaller than the sum of its proper divisors (1423860808320).

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

461240196480 is a wasteful number, since it uses less digits than its factorization.

461240196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37159 (or 37141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 461240196480 in words is "four hundred sixty-one billion, two hundred forty million, one hundred ninety-six thousand, four hundred eighty".