476432000 has 128 divisors (see below), whose sum is σ = 1292690880. Its totient is φ = 173184000.

The previous prime is 476431957. The next prime is 476432003. The reversal of 476432000 is 234674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (476432003) 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, 174647 + ... + 177353.

Almost surely, 2^476432000 is an apocalyptic number.

476432000 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 476432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646345440).

476432000 is an abundant number, since it is smaller than the sum of its proper divisors (816258880).

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

476432000 is a wasteful number, since it uses less digits than its factorization.

476432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 476432000 is about 21827.3223277616. The cubic root of 476432000 is about 781.0286669008.

Adding to 476432000 its reverse (234674), we get a palindrome (476666674).

The spelling of 476432000 in words is "four hundred seventy-six million, four hundred thirty-two thousand".