474009600 has 156 divisors (see below), whose sum is σ = 1568216096. Its totient is φ = 126320640.

The previous prime is 474009551. The next prime is 474009607. The reversal of 474009600 is 6900474.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474009607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306429 + ... + 307971.

Almost surely, 2^474009600 is an apocalyptic number.

474009600 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 474009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784108048).

474009600 is an abundant number, since it is smaller than the sum of its proper divisors (1094206496).

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

474009600 is a wasteful number, since it uses less digits than its factorization.

474009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 474009600 is about 21771.7615272628. The cubic root of 474009600 is about 779.7027137953.

The spelling of 474009600 in words is "four hundred seventy-four million, nine thousand, six hundred".