409872276 has 72 divisors (see below), whose sum is σ = 1139025888. Its totient is φ = 123240000.

The previous prime is 409872271. The next prime is 409872277. The reversal of 409872276 is 672278904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409872271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47926 + ... + 55826.

It is an arithmetic number, because the mean of its divisors is an integer number (15819804).

Almost surely, 2^409872276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409872276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569512944).

409872276 is an abundant number, since it is smaller than the sum of its proper divisors (729153612).

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

409872276 is a wasteful number, since it uses less digits than its factorization.

409872276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8053 (or 8048 counting only the distinct ones).

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

The square root of 409872276 is about 20245.3025662745. The cubic root of 409872276 is about 742.8187333409.

The spelling of 409872276 in words is "four hundred nine million, eight hundred seventy-two thousand, two hundred seventy-six".