409968192 has 224 divisors, whose sum is σ = 1235976192. Its totient is φ = 119218176.

The previous prime is 409968161. The next prime is 409968217. The reversal of 409968192 is 291869904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3228033 + ... + 3228159.

Almost surely, 2^409968192 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 409968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617988096).

409968192 is an abundant number, since it is smaller than the sum of its proper divisors (826008000).

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

409968192 is a wasteful number, since it uses less digits than its factorization.

409968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 409968192 is about 20247.6712735070. The cubic root of 409968192 is about 742.8766722395.

The spelling of 409968192 in words is "four hundred nine million, nine hundred sixty-eight thousand, one hundred ninety-two".