409597920 has 144 divisors (see below), whose sum is σ = 1420971552. Its totient is φ = 107412480.

The previous prime is 409597907. The next prime is 409597933. The reversal of 409597920 is 29795904.

It is an interprime number because it is at equal distance from previous prime (409597907) and next prime (409597933).

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85509 + ... + 90171.

It is an arithmetic number, because the mean of its divisors is an integer number (9867858).

Almost surely, 2^409597920 is an apocalyptic number.

409597920 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 409597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710485776).

409597920 is an abundant number, since it is smaller than the sum of its proper divisors (1011373632).

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

409597920 is a wasteful number, since it uses less digits than its factorization.

409597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 409597920 is about 20238.5256380004. The cubic root of 409597920 is about 742.6529562789.

The spelling of 409597920 in words is "four hundred nine million, five hundred ninety-seven thousand, nine hundred twenty".