468084824 has 64 divisors (see below), whose sum is σ = 931694400. Its totient is φ = 220147200.

The previous prime is 468084811. The next prime is 468084829. The reversal of 468084824 is 428480864.

It is a happy number.

It is a super-2 number, since 2×468084824² = 438206804918221952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468084829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2586014 + ... + 2586194.

It is an arithmetic number, because the mean of its divisors is an integer number (14557725).

Almost surely, 2^468084824 is an apocalyptic number.

It is an amenable number.

468084824 is a deficient number, since it is larger than the sum of its proper divisors (463609576).

468084824 is a wasteful number, since it uses less digits than its factorization.

468084824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 468084824 is about 21635.2680593516. The cubic root of 468084824 is about 776.4405113928.

The spelling of 468084824 in words is "four hundred sixty-eight million, eighty-four thousand, eight hundred twenty-four".