474370400 has 288 divisors, whose sum is σ = 1439907840. Its totient is φ = 149022720.

The previous prime is 474370387. The next prime is 474370409. The reversal of 474370400 is 4073474.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474370409) 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 47 ways as a sum of consecutive naturals, for example, 3735137 + ... + 3735263.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^474370400 is an apocalyptic number.

474370400 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 474370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

474370400 is an abundant number, since it is smaller than the sum of its proper divisors (965537440).

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

474370400 is a wasteful number, since it uses less digits than its factorization.

474370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 474370400 is about 21780.0459136339. The cubic root of 474370400 is about 779.9004913601.

The spelling of 474370400 in words is "four hundred seventy-four million, three hundred seventy thousand, four hundred".