409021248 has 112 divisors (see below), whose sum is σ = 1118347776. Its totient is φ = 131850240.

The previous prime is 409021231. The next prime is 409021313. The reversal of 409021248 is 842120904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755340 + ... + 1755572.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^409021248 is an apocalyptic number.

409021248 is a gapful number since it is divisible by the number (48) 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 409021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

409021248 is an abundant number, since it is smaller than the sum of its proper divisors (709326528).

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

409021248 is a wasteful number, since it uses less digits than its factorization.

409021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 409021248 is about 20224.2737323247. The cubic root of 409021248 is about 742.3042661062.

The spelling of 409021248 in words is "four hundred nine million, twenty-one thousand, two hundred forty-eight".