477553752 has 128 divisors (see below), whose sum is σ = 1503936000. Its totient is φ = 139190400.

The previous prime is 477553723. The next prime is 477553757. The reversal of 477553752 is 257355774.

477553752 is a `hidden beast` number, since 47 + 7 + 553 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 477553698 and 477553707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477553757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48877 + ... + 57827.

It is an arithmetic number, because the mean of its divisors is an integer number (11749500).

Almost surely, 2^477553752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477553752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751968000).

477553752 is an abundant number, since it is smaller than the sum of its proper divisors (1026382248).

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

477553752 is a wasteful number, since it uses less digits than its factorization.

477553752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8988 counting only the distinct ones).

The product of its digits is 1029000, while the sum is 45.

The square root of 477553752 is about 21853.0032718617. The cubic root of 477553752 is about 781.6411598785.

The spelling of 477553752 in words is "four hundred seventy-seven million, five hundred fifty-three thousand, seven hundred fifty-two".