232930290600 has 1440 divisors, whose sum is σ = 1023169122360. Its totient is φ = 48771072000.

The previous prime is 232930290539. The next prime is 232930290667. The reversal of 232930290600 is 6092039232.

232930290600 is a `hidden beast` number, since 2 + 3 + 29 + 3 + 0 + 29 + 0 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13349953764 + 219580336836 = 115542^2 + 468594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 553278390 + ... + 553278810.

Almost surely, 2^232930290600 is an apocalyptic number.

232930290600 is a gapful number since it is divisible by the number (20) 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 232930290600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511584561180).

232930290600 is an abundant number, since it is smaller than the sum of its proper divisors (790238831760).

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

232930290600 is a wasteful number, since it uses less digits than its factorization.

232930290600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 232930290600 in words is "two hundred thirty-two billion, nine hundred thirty million, two hundred ninety thousand, six hundred".