472202880 has 384 divisors, whose sum is σ = 1713502080. Its totient is φ = 110297088.

The previous prime is 472202879. The next prime is 472202947. The reversal of 472202880 is 88202274.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 12762222 + ... + 12762258.

It is an arithmetic number, because the mean of its divisors is an integer number (4462245).

Almost surely, 2^472202880 is an apocalyptic number.

472202880 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 472202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856751040).

472202880 is an abundant number, since it is smaller than the sum of its proper divisors (1241299200).

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

472202880 is a wasteful number, since it uses less digits than its factorization.

472202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 472202880 is about 21730.2296352340. The cubic root of 472202880 is about 778.7108224371.

The spelling of 472202880 in words is "four hundred seventy-two million, two hundred two thousand, eight hundred eighty".