476492800 has 132 divisors (see below), whose sum is σ = 1350364960. Its totient is φ = 163307520.

The previous prime is 476492789. The next prime is 476492803. The reversal of 476492800 is 8294674.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476492803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177871 + ... + 180529.

Almost surely, 2^476492800 is an apocalyptic number.

476492800 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 476492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675182480).

476492800 is an abundant number, since it is smaller than the sum of its proper divisors (873872160).

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

476492800 is a wasteful number, since it uses less digits than its factorization.

476492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 476492800 is about 21828.7150331851. The cubic root of 476492800 is about 781.0618892166.

The spelling of 476492800 in words is "four hundred seventy-six million, four hundred ninety-two thousand, eight hundred".