474745600 has 108 divisors (see below), whose sum is σ = 1343063344. Its totient is φ = 162754560.

The previous prime is 474745559. The next prime is 474745603. The reversal of 474745600 is 6547474.

It is a self number, because there is not a number n which added to its sum of digits gives 474745600.

It is not an unprimeable number, because it can be changed into a prime (474745603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39502 + ... + 50098.

Almost surely, 2^474745600 is an apocalyptic number.

474745600 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 474745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671531672).

474745600 is an abundant number, since it is smaller than the sum of its proper divisors (868317744).

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

474745600 is a wasteful number, since it uses less digits than its factorization.

474745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 474745600 is about 21788.6575997697. The cubic root of 474745600 is about 780.1060561466.

The spelling of 474745600 in words is "four hundred seventy-four million, seven hundred forty-five thousand, six hundred".