477360400 has 240 divisors, whose sum is σ = 1345092480. Its totient is φ = 161075200.

The previous prime is 477360397. The next prime is 477360407. The reversal of 477360400 is 4063774.

It is not an unprimeable number, because it can be changed into a prime (477360407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5363556 + ... + 5363644.

It is an arithmetic number, because the mean of its divisors is an integer number (5604552).

Almost surely, 2^477360400 is an apocalyptic number.

477360400 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 477360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672546240).

477360400 is an abundant number, since it is smaller than the sum of its proper divisors (867732080).

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

477360400 is a wasteful number, since it uses less digits than its factorization.

477360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 477360400 is about 21848.5789011551. The cubic root of 477360400 is about 781.5356553273.

The spelling of 477360400 in words is "four hundred seventy-seven million, three hundred sixty thousand, four hundred".