409480110 has 160 divisors (see below), whose sum is σ = 1218948192. Its totient is φ = 97977600.

The previous prime is 409480103. The next prime is 409480117. The reversal of 409480110 is 11084904.

It is an interprime number because it is at equal distance from previous prime (409480103) and next prime (409480117).

It is a super-2 number, since 2×409480110² = 335347920971224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409480117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389085 + ... + 390135.

Almost surely, 2^409480110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409480110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609474096).

409480110 is an abundant number, since it is smaller than the sum of its proper divisors (809468082).

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

409480110 is a wasteful number, since it uses less digits than its factorization.

409480110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 409480110 is about 20235.6148905834. The cubic root of 409480110 is about 742.5817479629.

The spelling of 409480110 in words is "four hundred nine million, four hundred eighty thousand, one hundred ten".