1233966400 has 84 divisors (see below), whose sum is σ = 3196214080. Its totient is φ = 467596800.

The previous prime is 1233966373. The next prime is 1233966401. The reversal of 1233966400 is 46693321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233966401) 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, 10105 + ... + 50695.

Almost surely, 2^1233966400 is an apocalyptic number.

1233966400 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 1233966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598107040).

1233966400 is an abundant number, since it is smaller than the sum of its proper divisors (1962247680).

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

1233966400 is a wasteful number, since it uses less digits than its factorization.

1233966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40632 (or 40617 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 1233966400 is about 35127.8578908535. The cubic root of 1233966400 is about 1072.5917316757.

The spelling of 1233966400 in words is "one billion, two hundred thirty-three million, nine hundred sixty-six thousand, four hundred".