461363688 has 112 divisors (see below), whose sum is σ = 1306353600. Its totient is φ = 152681760.

The previous prime is 461363671. The next prime is 461363701. The reversal of 461363688 is 886363164.

461363688 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 636 + 8 + 8 = 666.

It is a super-2 number, since 2×461363688² = 425712905209922688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1393683 + ... + 1394013.

Almost surely, 2^461363688 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 461363688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653176800).

461363688 is an abundant number, since it is smaller than the sum of its proper divisors (844989912).

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

461363688 is a wasteful number, since it uses less digits than its factorization.

461363688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 461363688 is about 21479.3782032907. The cubic root of 461363688 is about 772.7063300303.

The spelling of 461363688 in words is "four hundred sixty-one million, three hundred sixty-three thousand, six hundred eighty-eight".