461243390580 has 576 divisors, whose sum is σ = 1746432576000. Its totient is φ = 100577562624.

The previous prime is 461243390561. The next prime is 461243390611. The reversal of 461243390580 is 85093342164.

461243390580 is a `hidden beast` number, since 4 + 61 + 2 + 4 + 3 + 3 + 9 + 0 + 580 = 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 191 ways as a sum of consecutive naturals, for example, 309766476 + ... + 309767964.

It is an arithmetic number, because the mean of its divisors is an integer number (3032001000).

Almost surely, 2^461243390580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461243390580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873216288000).

461243390580 is an abundant number, since it is smaller than the sum of its proper divisors (1285189185420).

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

461243390580 is a wasteful number, since it uses less digits than its factorization.

461243390580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 461243390580 in words is "four hundred sixty-one billion, two hundred forty-three million, three hundred ninety thousand, five hundred eighty".