409930472 has 96 divisors (see below), whose sum is σ = 982497600. Its totient is φ = 159134976.

The previous prime is 409930471. The next prime is 409930489. The reversal of 409930472 is 274039904.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (409930471) 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, 170108 + ... + 172500.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2^409930472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409930472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491248800).

409930472 is an abundant number, since it is smaller than the sum of its proper divisors (572567128).

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

409930472 is a wasteful number, since it uses less digits than its factorization.

409930472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 409930472 is about 20246.7397869385. The cubic root of 409930472 is about 742.8538882219.

The spelling of 409930472 in words is "four hundred nine million, nine hundred thirty thousand, four hundred seventy-two".