461027824 has 40 divisors (see below), whose sum is σ = 934797312. Its totient is φ = 219848640.

The previous prime is 461027789. The next prime is 461027851. The reversal of 461027824 is 428720164.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 461027824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139309 + ... + 142579.

Almost surely, 2^461027824 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 461027824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467398656).

461027824 is an abundant number, since it is smaller than the sum of its proper divisors (473769488).

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

461027824 is a wasteful number, since it uses less digits than its factorization.

461027824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 461027824 is about 21471.5584902447. The cubic root of 461027824 is about 772.5187793356.

Adding to 461027824 its reverse (428720164), we get a palindrome (889747988).

The spelling of 461027824 in words is "four hundred sixty-one million, twenty-seven thousand, eight hundred twenty-four".