406348992 has 168 divisors, whose sum is σ = 1374477312. Its totient is φ = 112320000.

The previous prime is 406348963. The next prime is 406349051. The reversal of 406348992 is 299843604.

406348992 is a `hidden beast` number, since 4 + 0 + 634 + 8 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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, 123367 + ... + 126617.

Almost surely, 2^406348992 is an apocalyptic number.

406348992 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 406348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687238656).

406348992 is an abundant number, since it is smaller than the sum of its proper divisors (968128320).

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

406348992 is a wasteful number, since it uses less digits than its factorization.

406348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 406348992 is about 20158.0999104578. The cubic root of 406348992 is about 740.6841688134.

The spelling of 406348992 in words is "four hundred six million, three hundred forty-eight thousand, nine hundred ninety-two".