232009297920 has 1040 divisors, whose sum is σ = 929107095840. Its totient is φ = 55037657088.

The previous prime is 232009297853. The next prime is 232009297943. The reversal of 232009297920 is 29792900232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 535818024 + ... + 535818456.

Almost surely, 2^232009297920 is an apocalyptic number.

232009297920 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 232009297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464553547920).

232009297920 is an abundant number, since it is smaller than the sum of its proper divisors (697097797920).

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

232009297920 is a wasteful number, since it uses less digits than its factorization.

232009297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 232009297920 in words is "two hundred thirty-two billion, nine million, two hundred ninety-seven thousand, nine hundred twenty".