409294080 has 288 divisors, whose sum is σ = 1565867520. Its totient is φ = 100638720.

The previous prime is 409294073. The next prime is 409294097. The reversal of 409294080 is 80492904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448825 + ... + 449735.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^409294080 is an apocalyptic number.

409294080 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 409294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

409294080 is an abundant number, since it is smaller than the sum of its proper divisors (1156573440).

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

409294080 is a wasteful number, since it uses less digits than its factorization.

409294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409294080 is about 20231.0177697515. The cubic root of 409294080 is about 742.4692773738.

The spelling of 409294080 in words is "four hundred nine million, two hundred ninety-four thousand, eighty".