461746368 has 84 divisors (see below), whose sum is σ = 1326479440. Its totient is φ = 153570816.

The previous prime is 461746357. The next prime is 461746399. The reversal of 461746368 is 863647164.

It is a happy number.

461746368 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 4 + 636 + 8 = 666.

It is a super-2 number, since 2×461746368² = 426419416722382848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477021 + ... + 477987.

Almost surely, 2^461746368 is an apocalyptic number.

461746368 is a gapful number since it is divisible by the number (48) 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 461746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663239720).

461746368 is an abundant number, since it is smaller than the sum of its proper divisors (864733072).

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

461746368 is a wasteful number, since it uses less digits than its factorization.

461746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1801 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 461746368 is about 21488.2844359432. The cubic root of 461746368 is about 772.9199124653.

The spelling of 461746368 in words is "four hundred sixty-one million, seven hundred forty-six thousand, three hundred sixty-eight".