403828992 has 270 divisors, whose sum is σ = 1376921182. Its totient is φ = 113799168.

The previous prime is 403828969. The next prime is 403829011. The reversal of 403828992 is 299828304.

403828992 is a `hidden beast` number, since 403 + 82 + 89 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 354041856 + 49787136 = 18816^2 + 7056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5531868 + ... + 5531940.

Almost surely, 2^403828992 is an apocalyptic number.

403828992 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 403828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688460591).

403828992 is an abundant number, since it is smaller than the sum of its proper divisors (973092190).

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

403828992 is an frugal number, since it uses more digits than its factorization.

403828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 403828992 is about 20095.4968089868. The cubic root of 403828992 is about 739.1498588579.

The spelling of 403828992 in words is "four hundred three million, eight hundred twenty-eight thousand, nine hundred ninety-two".