474055400 has 216 divisors, whose sum is σ = 1403757810. Its totient is φ = 147571200.

The previous prime is 474055399. The next prime is 474055403. The reversal of 474055400 is 4550474.

It can be written as a sum of positive squares in 9 ways, for example, as 128913316 + 345142084 = 11354^2 + 18578^2 .

It is not an unprimeable number, because it can be changed into a prime (474055403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7771370 + ... + 7771430.

Almost surely, 2^474055400 is an apocalyptic number.

474055400 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 474055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701878905).

474055400 is an abundant number, since it is smaller than the sum of its proper divisors (929702410).

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

474055400 is a wasteful number, since it uses less digits than its factorization.

474055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 474055400 is about 21772.8133230412. The cubic root of 474055400 is about 779.7278252658.

The spelling of 474055400 in words is "four hundred seventy-four million, fifty-five thousand, four hundred".