406609392 has 160 divisors (see below), whose sum is σ = 1254522880. Its totient is φ = 111041280.

The previous prime is 406609351. The next prime is 406609393. The reversal of 406609392 is 293906604.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 406609392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406609393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072659 + ... + 1073037.

It is an arithmetic number, because the mean of its divisors is an integer number (7840768).

Almost surely, 2^406609392 is an apocalyptic number.

406609392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406609392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627261440).

406609392 is an abundant number, since it is smaller than the sum of its proper divisors (847913488).

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

406609392 is a wasteful number, since it uses less digits than its factorization.

406609392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 406609392 is about 20164.5578181125. The cubic root of 406609392 is about 740.8423521946.

The spelling of 406609392 in words is "four hundred six million, six hundred nine thousand, three hundred ninety-two".