409190940 has 120 divisors (see below), whose sum is σ = 1290421440. Its totient is φ = 108542592.

The previous prime is 409190923. The next prime is 409190959. The reversal of 409190940 is 49091904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409190895 and 409190904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370429 + ... + 371531.

It is an arithmetic number, because the mean of its divisors is an integer number (10753512).

Almost surely, 2^409190940 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 409190940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645210720).

409190940 is an abundant number, since it is smaller than the sum of its proper divisors (881230500).

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

409190940 is a wasteful number, since it uses less digits than its factorization.

409190940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 409190940 is about 20228.4685530072. The cubic root of 409190940 is about 742.4069059899.

The spelling of 409190940 in words is "four hundred nine million, one hundred ninety thousand, nine hundred forty".