409978392 has 64 divisors (see below), whose sum is σ = 1096092000. Its totient is φ = 127334400.

The previous prime is 409978369. The next prime is 409978399. The reversal of 409978392 is 293879904.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409978399) 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, 36234 + ... + 46182.

Almost surely, 2^409978392 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 409978392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548046000).

409978392 is an abundant number, since it is smaller than the sum of its proper divisors (686113608).

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

409978392 is a wasteful number, since it uses less digits than its factorization.

409978392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 409978392 is about 20247.9231527582. The cubic root of 409978392 is about 742.8828331070.

The spelling of 409978392 in words is "four hundred nine million, nine hundred seventy-eight thousand, three hundred ninety-two".