477064400 has 60 divisors (see below), whose sum is σ = 1148598732. Its totient is φ = 190417920.

The previous prime is 477064339. The next prime is 477064411. The reversal of 477064400 is 4460774.

It can be written as a sum of positive squares in 6 ways, for example, as 58125376 + 418939024 = 7624^2 + 20468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245834 + ... + 247766.

Almost surely, 2^477064400 is an apocalyptic number.

477064400 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 477064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574299366).

477064400 is an abundant number, since it is smaller than the sum of its proper divisors (671534332).

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

477064400 is a wasteful number, since it uses less digits than its factorization.

477064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 477064400 is about 21841.8039548019. The cubic root of 477064400 is about 781.3740846108.

The spelling of 477064400 in words is "four hundred seventy-seven million, sixty-four thousand, four hundred".