406825968 has 40 divisors (see below), whose sum is σ = 1052773888. Its totient is φ = 135375552.

The previous prime is 406825961. The next prime is 406825981. The reversal of 406825968 is 869528604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406825961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22155 + ... + 36117.

Almost surely, 2^406825968 is an apocalyptic number.

406825968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406825968 is an abundant number, since it is smaller than the sum of its proper divisors (645947920).

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

406825968 is a wasteful number, since it uses less digits than its factorization.

406825968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14581 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 406825968 is about 20169.9273176678. The cubic root of 406825968 is about 740.9738626792.

The spelling of 406825968 in words is "four hundred six million, eight hundred twenty-five thousand, nine hundred sixty-eight".