406122496 has 104 divisors (see below), whose sum is σ = 908218080. Its totient is φ = 180289536.

The previous prime is 406122491. The next prime is 406122529. The reversal of 406122496 is 694221604.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406122491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544061 + ... + 1544323.

Almost surely, 2^406122496 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 406122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454109040).

406122496 is an abundant number, since it is smaller than the sum of its proper divisors (502095584).

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

406122496 is a wasteful number, since it uses less digits than its factorization.

406122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 406122496 is about 20152.4811375672. The cubic root of 406122496 is about 740.5465258971.

The spelling of 406122496 in words is "four hundred six million, one hundred twenty-two thousand, four hundred ninety-six".