406109424 has 160 divisors (see below), whose sum is σ = 1251475456. Its totient is φ = 111041280.

The previous prime is 406109419. The next prime is 406109441. The reversal of 406109424 is 424901604.

It is a super-2 number, since 2×406109424² = 329849728523223552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406109391 and 406109400.

It is a congruent number.

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, 1322679 + ... + 1322985.

Almost surely, 2^406109424 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 406109424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625737728).

406109424 is an abundant number, since it is smaller than the sum of its proper divisors (845366032).

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

406109424 is a wasteful number, since it uses less digits than its factorization.

406109424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 406109424 is about 20152.1568076472. The cubic root of 406109424 is about 740.5385804060.

The spelling of 406109424 in words is "four hundred six million, one hundred nine thousand, four hundred twenty-four".