408972438 has 48 divisors (see below), whose sum is σ = 1017559296. Its totient is φ = 116287920.

The previous prime is 408972419. The next prime is 408972449. The reversal of 408972438 is 834279804.

It is a junction number, because it is equal to n+sod(n) for n = 408972393 and 408972402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18895 + ... + 34277.

It is an arithmetic number, because the mean of its divisors is an integer number (21199152).

Almost surely, 2^408972438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408972438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508779648).

408972438 is an abundant number, since it is smaller than the sum of its proper divisors (608586858).

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

408972438 is a wasteful number, since it uses less digits than its factorization.

408972438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 408972438 is about 20223.0669780822. The cubic root of 408972438 is about 742.2747376382.

The spelling of 408972438 in words is "four hundred eight million, nine hundred seventy-two thousand, four hundred thirty-eight".