468736520 has 64 divisors (see below), whose sum is σ = 1217099520. Its totient is φ = 159139584.

The previous prime is 468736501. The next prime is 468736547. The reversal of 468736520 is 25637864.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20714 + ... + 36966.

It is an arithmetic number, because the mean of its divisors is an integer number (19017180).

Almost surely, 2^468736520 is an apocalyptic number.

468736520 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 468736520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608549760).

468736520 is an abundant number, since it is smaller than the sum of its proper divisors (748363000).

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

468736520 is a wasteful number, since it uses less digits than its factorization.

468736520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 468736520 is about 21650.3237851077. The cubic root of 468736520 is about 776.8006801070.

The spelling of 468736520 in words is "four hundred sixty-eight million, seven hundred thirty-six thousand, five hundred twenty".