476630400 has 192 divisors, whose sum is σ = 1586059200. Its totient is φ = 125798400.

The previous prime is 476630381. The next prime is 476630417. The reversal of 476630400 is 4036674.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257411 + ... + 1257789.

It is an arithmetic number, because the mean of its divisors is an integer number (8260725).

Almost surely, 2^476630400 is an apocalyptic number.

476630400 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 476630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793029600).

476630400 is an abundant number, since it is smaller than the sum of its proper divisors (1109428800).

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

476630400 is a wasteful number, since it uses less digits than its factorization.

476630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 476630400 is about 21831.8666174013. The cubic root of 476630400 is about 781.1370661289.

The spelling of 476630400 in words is "four hundred seventy-six million, six hundred thirty thousand, four hundred".