474306800 has 180 divisors, whose sum is σ = 1324081176. Its totient is φ = 161894400.

The previous prime is 474306779. The next prime is 474306809. The reversal of 474306800 is 8603474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474306809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1271414 + ... + 1271786.

Almost surely, 2^474306800 is an apocalyptic number.

474306800 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 474306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662040588).

474306800 is an abundant number, since it is smaller than the sum of its proper divisors (849774376).

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

474306800 is a wasteful number, since it uses less digits than its factorization.

474306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 474306800 is about 21778.5858126739. The cubic root of 474306800 is about 779.8656354133.

The spelling of 474306800 in words is "four hundred seventy-four million, three hundred six thousand, eight hundred".