474409728 has 216 divisors, whose sum is σ = 1508864448. Its totient is φ = 142442496.

The previous prime is 474409721. The next prime is 474409739. The reversal of 474409728 is 827904474.

It is not an unprimeable number, because it can be changed into a prime (474409721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407576 + ... + 1407912.

Almost surely, 2^474409728 is an apocalyptic number.

474409728 is a gapful number since it is divisible by the number (48) 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 474409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754432224).

474409728 is an abundant number, since it is smaller than the sum of its proper divisors (1034454720).

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

474409728 is a wasteful number, since it uses less digits than its factorization.

474409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 474409728 is about 21780.9487396670. The cubic root of 474409728 is about 779.9220434910.

The spelling of 474409728 in words is "four hundred seventy-four million, four hundred nine thousand, seven hundred twenty-eight".