1204166400 has 216 divisors, whose sum is σ = 4045157760. Its totient is φ = 315371520.

The previous prime is 1204166399. The next prime is 1204166417. The reversal of 1204166400 is 46614021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1132269 + ... + 1133331.

Almost surely, 2^1204166400 is an apocalyptic number.

1204166400 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 1204166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022578880).

1204166400 is an abundant number, since it is smaller than the sum of its proper divisors (2840991360).

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

1204166400 is a wasteful number, since it uses less digits than its factorization.

1204166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1204166400 is about 34701.1008470913. The cubic root of 1204166400 is about 1063.8869987592.

The spelling of 1204166400 in words is "one billion, two hundred four million, one hundred sixty-six thousand, four hundred".