1233293952 has 256 divisors, whose sum is σ = 3822796800. Its totient is φ = 351267840.

The previous prime is 1233293939. The next prime is 1233293983. The reversal of 1233293952 is 2593923321.

Its product of digits (87480) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 1233293952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9710913 + ... + 9711039.

It is an arithmetic number, because the mean of its divisors is an integer number (14932800).

Almost surely, 2^1233293952 is an apocalyptic number.

1233293952 is a gapful number since it is divisible by the number (12) 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 1233293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911398400).

1233293952 is an abundant number, since it is smaller than the sum of its proper divisors (2589502848).

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

1233293952 is a wasteful number, since it uses less digits than its factorization.

1233293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 1233293952 is about 35118.2851517553. The cubic root of 1233293952 is about 1072.3968605616.

The spelling of 1233293952 in words is "one billion, two hundred thirty-three million, two hundred ninety-three thousand, nine hundred fifty-two".