409199040 has 140 divisors (see below), whose sum is σ = 1455685176. Its totient is φ = 109112832.

The previous prime is 409199033. The next prime is 409199069. The reversal of 409199040 is 40991904.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 409198986 and 409199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18027 + ... + 33813.

Almost surely, 2^409199040 is an apocalyptic number.

409199040 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 409199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727842588).

409199040 is an abundant number, since it is smaller than the sum of its proper divisors (1046486136).

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

409199040 is a wasteful number, since it uses less digits than its factorization.

409199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816 (or 15797 counting only the distinct ones).

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

The square root of 409199040 is about 20228.6687648990. The cubic root of 409199040 is about 742.4118046453.

The spelling of 409199040 in words is "four hundred nine million, one hundred ninety-nine thousand, forty".