476138000 has 80 divisors (see below), whose sum is σ = 1239931056. Its totient is φ = 175795200.

The previous prime is 476137969. The next prime is 476138027. The reversal of 476138000 is 831674.

It can be written as a sum of positive squares in 8 ways, for example, as 308072704 + 168065296 = 17552^2 + 12964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16844 + ... + 35156.

Almost surely, 2^476138000 is an apocalyptic number.

476138000 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 476138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619965528).

476138000 is an abundant number, since it is smaller than the sum of its proper divisors (763793056).

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

476138000 is a wasteful number, since it uses less digits than its factorization.

476138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 476138000 is about 21820.5866098966. The cubic root of 476138000 is about 780.8679796278.

Adding to 476138000 its reverse (831674), we get a palindrome (476969674).

The spelling of 476138000 in words is "four hundred seventy-six million, one hundred thirty-eight thousand".