409981572 has 288 divisors, whose sum is σ = 1440251904. Its totient is φ = 94867200.

The previous prime is 409981519. The next prime is 409981573. The reversal of 409981572 is 275189904.

409981572 is a `hidden beast` number, since 409 + 98 + 157 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (409981573) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116933 + ... + 1117299.

Almost surely, 2^409981572 is an apocalyptic number.

409981572 is a gapful number since it is divisible by the number (42) 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 409981572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720125952).

409981572 is an abundant number, since it is smaller than the sum of its proper divisors (1030270332).

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

409981572 is a wasteful number, since it uses less digits than its factorization.

409981572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 409981572 is about 20248.0016791781. The cubic root of 409981572 is about 742.8847538272.

The spelling of 409981572 in words is "four hundred nine million, nine hundred eighty-one thousand, five hundred seventy-two".