409877640 has 96 divisors (see below), whose sum is σ = 1341849600. Its totient is φ = 108501120.

The previous prime is 409877623. The next prime is 409877653. The reversal of 409877640 is 46778904.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45945 + ... + 54135.

It is an arithmetic number, because the mean of its divisors is an integer number (13977600).

Almost surely, 2^409877640 is an apocalyptic number.

409877640 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 409877640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670924800).

409877640 is an abundant number, since it is smaller than the sum of its proper divisors (931971960).

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

409877640 is a wasteful number, since it uses less digits than its factorization.

409877640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 409877640 is about 20245.4350410160. The cubic root of 409877640 is about 742.8219737506.

The spelling of 409877640 in words is "four hundred nine million, eight hundred seventy-seven thousand, six hundred forty".