476414293440 has 224 divisors, whose sum is σ = 1525110935040. Its totient is φ = 125996322816.

The previous prime is 476414293391. The next prime is 476414293493. The reversal of 476414293440 is 44392414674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 476414293440.

It is a congruent number.

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, 246462714 + ... + 246464646.

It is an arithmetic number, because the mean of its divisors is an integer number (6808530960).

Almost surely, 2^476414293440 is an apocalyptic number.

476414293440 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 476414293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762555467520).

476414293440 is an abundant number, since it is smaller than the sum of its proper divisors (1048696641600).

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

476414293440 is a wasteful number, since it uses less digits than its factorization.

476414293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 476414293440 in words is "four hundred seventy-six billion, four hundred fourteen million, two hundred ninety-three thousand, four hundred forty".