477556040 has 64 divisors (see below), whose sum is σ = 1188477360. Its totient is φ = 171555840.

The previous prime is 477556019. The next prime is 477556043. The reversal of 477556040 is 40655774.

It can be written as a sum of positive squares in 8 ways, for example, as 125843524 + 351712516 = 11218^2 + 18754^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 477555985 and 477556003.

It is not an unprimeable number, because it can be changed into a prime (477556043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6830 + ... + 31650.

Almost surely, 2^477556040 is an apocalyptic number.

477556040 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 477556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594238680).

477556040 is an abundant number, since it is smaller than the sum of its proper divisors (710921320).

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

477556040 is a wasteful number, since it uses less digits than its factorization.

477556040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24882 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 477556040 is about 21853.0556215830. The cubic root of 477556040 is about 781.6424081793.

The spelling of 477556040 in words is "four hundred seventy-seven million, five hundred fifty-six thousand, forty".