471484800 has 480 divisors, whose sum is σ = 1859445720. Its totient is φ = 117227520.

The previous prime is 471484721. The next prime is 471484823. The reversal of 471484800 is 8484174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406347 + ... + 4406453.

Almost surely, 2^471484800 is an apocalyptic number.

471484800 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 471484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929722860).

471484800 is an abundant number, since it is smaller than the sum of its proper divisors (1387960920).

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

471484800 is a wasteful number, since it uses less digits than its factorization.

471484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 471484800 is about 21713.7007440003. The cubic root of 471484800 is about 778.3158930696.

The spelling of 471484800 in words is "four hundred seventy-one million, four hundred eighty-four thousand, eight hundred".