468172080 has 240 divisors, whose sum is σ = 1629538560. Its totient is φ = 120402432.

The previous prime is 468172079. The next prime is 468172097. The reversal of 468172080 is 80271864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375387 + ... + 4375493.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2^468172080 is an apocalyptic number.

468172080 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 468172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

468172080 is an abundant number, since it is smaller than the sum of its proper divisors (1161366480).

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

468172080 is a wasteful number, since it uses less digits than its factorization.

468172080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 468172080 is about 21637.2844876616. The cubic root of 468172080 is about 776.4887539908.

The spelling of 468172080 in words is "four hundred sixty-eight million, one hundred seventy-two thousand, eighty".