471620880 has 200 divisors, whose sum is σ = 1662113112. Its totient is φ = 123918336.

The previous prime is 471620803. The next prime is 471620917. The reversal of 471620880 is 88026174.

It can be written as a sum of positive squares in 4 ways, for example, as 131882256 + 339738624 = 11484^2 + 18432^2 .

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 39 ways as a sum of consecutive naturals, for example, 472542 + ... + 473538.

Almost surely, 2^471620880 is an apocalyptic number.

471620880 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 471620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831056556).

471620880 is an abundant number, since it is smaller than the sum of its proper divisors (1190492232).

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

471620880 is a wasteful number, since it uses less digits than its factorization.

471620880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1080 counting only the distinct ones).

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

The square root of 471620880 is about 21716.8340234022. The cubic root of 471620880 is about 778.3907650760.

The spelling of 471620880 in words is "four hundred seventy-one million, six hundred twenty thousand, eight hundred eighty".