1233040400 has 30 divisors (see below), whose sum is σ = 2962380522. Its totient is φ = 493216000.

The previous prime is 1233040399. The next prime is 1233040409. The reversal of 1233040400 is 40403321.

It can be written as a sum of positive squares in 3 ways, for example, as 212110096 + 1020930304 = 14564^2 + 31952^2 .

It is not an unprimeable number, because it can be changed into a prime (1233040409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1540901 + ... + 1541700.

Almost surely, 2^1233040400 is an apocalyptic number.

1233040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233040400 is an abundant number, since it is smaller than the sum of its proper divisors (1729340122).

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

1233040400 is a wasteful number, since it uses less digits than its factorization.

1233040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082619 (or 3082608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1233040400 is about 35114.6749949362. The cubic root of 1233040400 is about 1072.3233644298.

Adding to 1233040400 its reverse (40403321), we get a palindrome (1273443721).

The spelling of 1233040400 in words is "one billion, two hundred thirty-three million, forty thousand, four hundred".