475936406400 has 1536 divisors, whose sum is σ = 2075567155200. Its totient is φ = 93003448320.

The previous prime is 475936406377. The next prime is 475936406419. The reversal of 475936406400 is 4604639574.

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 475936406400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1084137381 + ... + 1084137819.

It is an arithmetic number, because the mean of its divisors is an integer number (1351280700).

Almost surely, 2^475936406400 is an apocalyptic number.

475936406400 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 475936406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037783577600).

475936406400 is an abundant number, since it is smaller than the sum of its proper divisors (1599630748800).

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

475936406400 is a wasteful number, since it uses less digits than its factorization.

475936406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 475936406400 in words is "four hundred seventy-five billion, nine hundred thirty-six million, four hundred six thousand, four hundred".