477890400 has 432 divisors, whose sum is σ = 1813102704. Its totient is φ = 108625920.

The previous prime is 477890393. The next prime is 477890411. The reversal of 477890400 is 4098774.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9016774 + ... + 9016826.

It is an arithmetic number, because the mean of its divisors is an integer number (4196997).

Almost surely, 2^477890400 is an apocalyptic number.

477890400 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 477890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906551352).

477890400 is an abundant number, since it is smaller than the sum of its proper divisors (1335212304).

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

477890400 is a wasteful number, since it uses less digits than its factorization.

477890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 477890400 is about 21860.7044717228. The cubic root of 477890400 is about 781.8247874624.

The spelling of 477890400 in words is "four hundred seventy-seven million, eight hundred ninety thousand, four hundred".