477976800 has 288 divisors, whose sum is σ = 1856881152. Its totient is φ = 104417280.

The previous prime is 477976783. The next prime is 477976813. The reversal of 477976800 is 8679774.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 477976800.

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, 385782 + ... + 387018.

It is an arithmetic number, because the mean of its divisors is an integer number (6447504).

Almost surely, 2^477976800 is an apocalyptic number.

477976800 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 477976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928440576).

477976800 is an abundant number, since it is smaller than the sum of its proper divisors (1378904352).

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

477976800 is a wasteful number, since it uses less digits than its factorization.

477976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 477976800 is about 21862.6805309870. The cubic root of 477976800 is about 781.8719011878.

The spelling of 477976800 in words is "four hundred seventy-seven million, nine hundred seventy-six thousand, eight hundred".