468971520 has 208 divisors, whose sum is σ = 1592330400. Its totient is φ = 117440512.

The previous prime is 468971513. The next prime is 468971533. The reversal of 468971520 is 25179864.

It is a super-2 number, since 2×468971520² = 439868573142220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044256 + ... + 1044704.

Almost surely, 2^468971520 is an apocalyptic number.

468971520 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 468971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796165200).

468971520 is an abundant number, since it is smaller than the sum of its proper divisors (1123358880).

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

468971520 is a wasteful number, since it uses less digits than its factorization.

468971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 468971520 is about 21655.7502756196. The cubic root of 468971520 is about 776.9304741767.

The spelling of 468971520 in words is "four hundred sixty-eight million, nine hundred seventy-one thousand, five hundred twenty".