477693972 has 216 divisors, whose sum is σ = 1497787200. Its totient is φ = 125680896.

The previous prime is 477693971. The next prime is 477694043. The reversal of 477693972 is 279396774.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477693971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5367304 + ... + 5367392.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2^477693972 is an apocalyptic number.

477693972 is a gapful number since it is divisible by the number (42) 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 477693972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

477693972 is an abundant number, since it is smaller than the sum of its proper divisors (1020093228).

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

477693972 is a wasteful number, since it uses less digits than its factorization.

477693972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 477693972 is about 21856.2112910724. The cubic root of 477693972 is about 781.7176545820.

The spelling of 477693972 in words is "four hundred seventy-seven million, six hundred ninety-three thousand, nine hundred seventy-two".