409976320 has 160 divisors (see below), whose sum is σ = 1077931008. Its totient is φ = 148635648.

The previous prime is 409976299. The next prime is 409976321. The reversal of 409976320 is 23679904.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409976321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228097 + ... + 3228223.

Almost surely, 2^409976320 is an apocalyptic number.

409976320 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 409976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538965504).

409976320 is an abundant number, since it is smaller than the sum of its proper divisors (667954688).

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

409976320 is a wasteful number, since it uses less digits than its factorization.

409976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 409976320 is about 20247.8719869521. The cubic root of 409976320 is about 742.8815816136.

The spelling of 409976320 in words is "four hundred nine million, nine hundred seventy-six thousand, three hundred twenty".