468544407080 has 256 divisors, whose sum is σ = 1143034675200. Its totient is φ = 172419287040.

The previous prime is 468544407059. The next prime is 468544407101. The reversal of 468544407080 is 80704445864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468544407059) and next prime (468544407101).

It is a super-2 number, since 2×468544407080² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899317220 + ... + 899317740.

It is an arithmetic number, because the mean of its divisors is an integer number (4464979200).

Almost surely, 2^468544407080 is an apocalyptic number.

468544407080 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 468544407080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571517337600).

468544407080 is an abundant number, since it is smaller than the sum of its proper divisors (674490268120).

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

468544407080 is a wasteful number, since it uses less digits than its factorization.

468544407080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 50.

The spelling of 468544407080 in words is "four hundred sixty-eight billion, five hundred forty-four million, four hundred seven thousand, eighty".