409457790 has 192 divisors, whose sum is σ = 1299916800. Its totient is φ = 87340032.

The previous prime is 409457731. The next prime is 409457813. The reversal of 409457790 is 97754904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 945414 + ... + 945846.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^409457790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409457790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

409457790 is an abundant number, since it is smaller than the sum of its proper divisors (890459010).

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

409457790 is a wasteful number, since it uses less digits than its factorization.

409457790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 409457790 is about 20235.0633801824. The cubic root of 409457790 is about 742.5682554673.

The spelling of 409457790 in words is "four hundred nine million, four hundred fifty-seven thousand, seven hundred ninety".