477983520 has 144 divisors (see below), whose sum is σ = 1864175040. Its totient is φ = 109251072.

The previous prime is 477983491. The next prime is 477983531. The reversal of 477983520 is 25389774.

477983520 is a `hidden beast` number, since 47 + 7 + 9 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13630 + ... + 33789.

It is an arithmetic number, because the mean of its divisors is an integer number (12945660).

Almost surely, 2^477983520 is an apocalyptic number.

477983520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477983520 is an abundant number, since it is smaller than the sum of its proper divisors (1386191520).

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

477983520 is a wasteful number, since it uses less digits than its factorization.

477983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 477983520 is about 21862.8342169994. The cubic root of 477983520 is about 781.8755653507.

The spelling of 477983520 in words is "four hundred seventy-seven million, nine hundred eighty-three thousand, five hundred twenty".