476475552 has 144 divisors (see below), whose sum is σ = 1561577472. Its totient is φ = 134991360.

The previous prime is 476475547. The next prime is 476475553. The reversal of 476475552 is 255574674.

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

Its product of digits (1176000) is a multiple of the sum of its prime divisors (2000).

It is a junction number, because it is equal to n+sod(n) for n = 476475498 and 476475507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476475553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255102 + ... + 256962.

It is an arithmetic number, because the mean of its divisors is an integer number (10844288).

Almost surely, 2^476475552 is an apocalyptic number.

476475552 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 476475552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736).

476475552 is an abundant number, since it is smaller than the sum of its proper divisors (1085101920).

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

476475552 is a wasteful number, since it uses less digits than its factorization.

476475552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2000 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 476475552 is about 21828.3199536749. The cubic root of 476475552 is about 781.0524648574.

The spelling of 476475552 in words is "four hundred seventy-six million, four hundred seventy-five thousand, five hundred fifty-two".