477792225800 has 108 divisors (see below), whose sum is σ = 1142566724565. Its totient is φ = 185810803200.

The previous prime is 477792225767. The next prime is 477792225809. The reversal of 477792225800 is 8522297774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 256649639236 + 221142586564 = 506606^2 + 470258^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=488770.

It is a super-2 number, since 2×477792225800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (477792225809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361689140 + ... + 361690460.

Almost surely, 2^477792225800 is an apocalyptic number.

477792225800 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 477792225800

477792225800 is an abundant number, since it is smaller than the sum of its proper divisors (664774498765).

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

477792225800 is an equidigital number, since it uses as much as digits as its factorization.

477792225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 477792225800 in words is "four hundred seventy-seven billion, seven hundred ninety-two million, two hundred twenty-five thousand, eight hundred".