471428800 has 84 divisors (see below), whose sum is σ = 1184879520. Its totient is φ = 184529920.

The previous prime is 471428791. The next prime is 471428849. The reversal of 471428800 is 8824174.

It is a super-2 number, since 2×471428800² = 444490226938880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72066 + ... + 78334.

Almost surely, 2^471428800 is an apocalyptic number.

471428800 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 471428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592439760).

471428800 is an abundant number, since it is smaller than the sum of its proper divisors (713450720).

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

471428800 is a wasteful number, since it uses less digits than its factorization.

471428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 471428800 is about 21712.4111972853. The cubic root of 471428800 is about 778.2850773602.

The spelling of 471428800 in words is "four hundred seventy-one million, four hundred twenty-eight thousand, eight hundred".