477222400 has 120 divisors (see below), whose sum is σ = 1234523664. Its totient is φ = 182476800.

The previous prime is 477222397. The next prime is 477222433. The reversal of 477222400 is 4222774.

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, 293590 + ... + 295210.

Almost surely, 2^477222400 is an apocalyptic number.

477222400 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 477222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617261832).

477222400 is an abundant number, since it is smaller than the sum of its proper divisors (757301264).

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

477222400 is a wasteful number, since it uses less digits than its factorization.

477222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 477222400 is about 21845.4205727425. The cubic root of 477222400 is about 781.4603367524.

It can be divided in two parts, 4772 and 22400, that added together give a palindrome (27172).

The spelling of 477222400 in words is "four hundred seventy-seven million, two hundred twenty-two thousand, four hundred".