476226400 has 144 divisors (see below), whose sum is σ = 1296010800. Its totient is φ = 169666560.

The previous prime is 476226353. The next prime is 476226407. The reversal of 476226400 is 4622674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476226407) 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, 300811 + ... + 302389.

It is an arithmetic number, because the mean of its divisors is an integer number (9000075).

Almost surely, 2^476226400 is an apocalyptic number.

476226400 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 476226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648005400).

476226400 is an abundant number, since it is smaller than the sum of its proper divisors (819784400).

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

476226400 is a wasteful number, since it uses less digits than its factorization.

476226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 476226400 is about 21822.6121259578. The cubic root of 476226400 is about 780.9163020734.

The spelling of 476226400 in words is "four hundred seventy-six million, two hundred twenty-six thousand, four hundred".