470721888 has 192 divisors, whose sum is σ = 1690053120. Its totient is φ = 124125696.

The previous prime is 470721869. The next prime is 470721893. The reversal of 470721888 is 888127074.

It is a hoax number, since the sum of its digits (45) 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 31 ways as a sum of consecutive naturals, for example, 75631 + ... + 81617.

It is an arithmetic number, because the mean of its divisors is an integer number (8802360).

Almost surely, 2^470721888 is an apocalyptic number.

470721888 is a gapful number since it is divisible by the number (48) 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 470721888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845026560).

470721888 is an abundant number, since it is smaller than the sum of its proper divisors (1219331232).

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

470721888 is a wasteful number, since it uses less digits than its factorization.

470721888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 470721888 is about 21696.1261058282. The cubic root of 470721888 is about 777.8958674453.

The spelling of 470721888 in words is "four hundred seventy million, seven hundred twenty-one thousand, eight hundred eighty-eight".