461537676 has 72 divisors (see below), whose sum is σ = 1214325840. Its totient is φ = 153280512.

The previous prime is 461537663. The next prime is 461537693. The reversal of 461537676 is 676735164.

461537676 is a `hidden beast` number, since 46 + 1 + 537 + 6 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326860 + ... + 328268.

Almost surely, 2^461537676 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 461537676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607162920).

461537676 is an abundant number, since it is smaller than the sum of its proper divisors (752788164).

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

461537676 is a wasteful number, since it uses less digits than its factorization.

461537676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1751 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 461537676 is about 21483.4279387625. The cubic root of 461537676 is about 772.8034513368.

The spelling of 461537676 in words is "four hundred sixty-one million, five hundred thirty-seven thousand, six hundred seventy-six".