409097880 has 48 divisors (see below), whose sum is σ = 1329569280. Its totient is φ = 109092672.

The previous prime is 409097851. The next prime is 409097881. The reversal of 409097880 is 88790904.

It is a super-2 number, since 2×409097880² = 334722150840988800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409097881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567832 + ... + 568551.

It is an arithmetic number, because the mean of its divisors is an integer number (27699360).

Almost surely, 2^409097880 is an apocalyptic number.

409097880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409097880 is an abundant number, since it is smaller than the sum of its proper divisors (920471400).

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

409097880 is a wasteful number, since it uses less digits than its factorization.

409097880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136400 (or 1136393 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 409097880 is about 20226.1681986480. The cubic root of 409097880 is about 742.3506212436.

The spelling of 409097880 in words is "four hundred nine million, ninety-seven thousand, eight hundred eighty".