1233149400 has 768 divisors, whose sum is σ = 5463936000. Its totient is φ = 248832000.

The previous prime is 1233149353. The next prime is 1233149443. The reversal of 1233149400 is 49413321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 12209350 + ... + 12209450.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^1233149400 is an apocalyptic number.

1233149400 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 1233149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968000).

1233149400 is an abundant number, since it is smaller than the sum of its proper divisors (4230786600).

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

1233149400 is a wasteful number, since it uses less digits than its factorization.

1233149400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1233149400 is about 35116.2270182889. The cubic root of 1233149400 is about 1072.3549610703.

The spelling of 1233149400 in words is "one billion, two hundred thirty-three million, one hundred forty-nine thousand, four hundred".