477652120 has 64 divisors (see below), whose sum is σ = 1174811040. Its totient is φ = 173337600.

The previous prime is 477652099. The next prime is 477652121. The reversal of 477652120 is 21256774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477652121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321780 + ... + 323260.

Almost surely, 2^477652120 is an apocalyptic number.

477652120 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 477652120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587405520).

477652120 is an abundant number, since it is smaller than the sum of its proper divisors (697158920).

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

477652120 is a wasteful number, since it uses less digits than its factorization.

477652120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 477652120 is about 21855.2538306010. The cubic root of 477652120 is about 781.6948244825.

The spelling of 477652120 in words is "four hundred seventy-seven million, six hundred fifty-two thousand, one hundred twenty".