1232874400 has 72 divisors (see below), whose sum is σ = 3031680960. Its totient is φ = 489557760.

The previous prime is 1232874367. The next prime is 1232874403. The reversal of 1232874400 is 44782321.

It is not an unprimeable number, because it can be changed into a prime (1232874403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105657 + ... + 116743.

It is an arithmetic number, because the mean of its divisors is an integer number (42106680).

Almost surely, 2^1232874400 is an apocalyptic number.

1232874400 is a gapful number since it is divisible by the number (10) 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 1232874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515840480).

1232874400 is an abundant number, since it is smaller than the sum of its proper divisors (1798806560).

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

1232874400 is a wasteful number, since it uses less digits than its factorization.

1232874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 1232874400 is about 35112.3112312477. The cubic root of 1232874400 is about 1072.2752411979.

The spelling of 1232874400 in words is "one billion, two hundred thirty-two million, eight hundred seventy-four thousand, four hundred".