468362520 has 128 divisors (see below), whose sum is σ = 1594598400. Its totient is φ = 122226048.

The previous prime is 468362519. The next prime is 468362549. The reversal of 468362520 is 25263864.

468362520 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 625 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46147 + ... + 55373.

It is an arithmetic number, because the mean of its divisors is an integer number (12457800).

Almost surely, 2^468362520 is an apocalyptic number.

468362520 is a gapful number since it is divisible by the number (40) 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 468362520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797299200).

468362520 is an abundant number, since it is smaller than the sum of its proper divisors (1126235880).

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

468362520 is a wasteful number, since it uses less digits than its factorization.

468362520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 468362520 is about 21641.6847772996. The cubic root of 468362520 is about 776.5940247368.

The spelling of 468362520 in words is "four hundred sixty-eight million, three hundred sixty-two thousand, five hundred twenty".