468617824 has 144 divisors (see below), whose sum is σ = 1070254080. Its totient is φ = 201104640.

The previous prime is 468617819. The next prime is 468617837. The reversal of 468617824 is 428716864.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9970569 + ... + 9970615.

It is an arithmetic number, because the mean of its divisors is an integer number (7432320).

Almost surely, 2^468617824 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 468617824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535127040).

468617824 is an abundant number, since it is smaller than the sum of its proper divisors (601636256).

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

468617824 is a wasteful number, since it uses less digits than its factorization.

468617824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 468617824 is about 21647.5824054327. The cubic root of 468617824 is about 776.7351060134.

The spelling of 468617824 in words is "four hundred sixty-eight million, six hundred seventeen thousand, eight hundred twenty-four".