477226400 has 144 divisors (see below), whose sum is σ = 1374912000. Its totient is φ = 158284800.

The previous prime is 477226361. The next prime is 477226411. The reversal of 477226400 is 4622774.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172226 + ... + 174974.

It is an arithmetic number, because the mean of its divisors is an integer number (9548000).

Almost surely, 2^477226400 is an apocalyptic number.

477226400 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 477226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

477226400 is an abundant number, since it is smaller than the sum of its proper divisors (897685600).

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

477226400 is a wasteful number, since it uses less digits than its factorization.

477226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2794 counting only the distinct ones).

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

The square root of 477226400 is about 21845.5121249194. The cubic root of 477226400 is about 781.4625201038.

The spelling of 477226400 in words is "four hundred seventy-seven million, two hundred twenty-six thousand, four hundred".