475402400 has 144 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 170649600.

The previous prime is 475402393. The next prime is 475402427. The reversal of 475402400 is 4204574.

It is a super-3 number, since 3×475402400³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 475402400.

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, 782897 + ... + 783503.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^475402400 is an apocalyptic number.

475402400 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 475402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

475402400 is an abundant number, since it is smaller than the sum of its proper divisors (807015520).

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

475402400 is a wasteful number, since it uses less digits than its factorization.

475402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 475402400 is about 21803.7244524875. The cubic root of 475402400 is about 780.4656435082.

Adding to 475402400 its reverse (4204574), we get a palindrome (479606974).

The spelling of 475402400 in words is "four hundred seventy-five million, four hundred two thousand, four hundred".