474675200 has 144 divisors (see below), whose sum is σ = 1202423040. Its totient is φ = 185794560.

The previous prime is 474675197. The next prime is 474675251. The reversal of 474675200 is 2576474.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3737537 + ... + 3737663.

It is an arithmetic number, because the mean of its divisors is an integer number (8350160).

Almost surely, 2^474675200 is an apocalyptic number.

474675200 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 474675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601211520).

474675200 is an abundant number, since it is smaller than the sum of its proper divisors (727747840).

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

474675200 is a wasteful number, since it uses less digits than its factorization.

474675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 474675200 is about 21787.0420204304. The cubic root of 474675200 is about 780.0674936117.

The spelling of 474675200 in words is "four hundred seventy-four million, six hundred seventy-five thousand, two hundred".