476029440 has 320 divisors, whose sum is σ = 1732389120. Its totient is φ = 123863040.

The previous prime is 476029391. The next prime is 476029451. The reversal of 476029440 is 44920674.

476029440 is a `hidden beast` number, since 4 + 7 + 602 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 476029395 and 476029404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907472 + ... + 4907568.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^476029440 is an apocalyptic number.

476029440 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 476029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

476029440 is an abundant number, since it is smaller than the sum of its proper divisors (1256359680).

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

476029440 is an equidigital number, since it uses as much as digits as its factorization.

476029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 476029440 is about 21818.0989089334. The cubic root of 476029440 is about 780.8086288574.

The spelling of 476029440 in words is "four hundred seventy-six million, twenty-nine thousand, four hundred forty".