409927680 has 204 divisors, whose sum is σ = 1431295320. Its totient is φ = 108527616.

The previous prime is 409927669. The next prime is 409927691. The reversal of 409927680 is 86729904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409927669) and next prime (409927691).

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 11 ways as a sum of consecutive naturals, for example, 2949051 + ... + 2949189.

Almost surely, 2^409927680 is an apocalyptic number.

409927680 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 409927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715647660).

409927680 is an abundant number, since it is smaller than the sum of its proper divisors (1021367640).

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

409927680 is an equidigital number, since it uses as much as digits as its factorization.

409927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 409927680 is about 20246.6708374488. The cubic root of 409927680 is about 742.8522017141.

The spelling of 409927680 in words is "four hundred nine million, nine hundred twenty-seven thousand, six hundred eighty".