1234460800 has 144 divisors (see below), whose sum is σ = 3156419070. Its totient is φ = 476774400.

The previous prime is 1234460783. The next prime is 1234460809. The reversal of 1234460800 is 80644321.

It can be written as a sum of positive squares in 9 ways, for example, as 8340544 + 1226120256 = 2888^2 + 35016^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1234460809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12726352 + ... + 12726448.

Almost surely, 2^1234460800 is an apocalyptic number.

1234460800 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 1234460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578209535).

1234460800 is an abundant number, since it is smaller than the sum of its proper divisors (1921958270).

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

1234460800 is an frugal number, since it uses more digits than its factorization.

1234460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1234460800 is about 35134.8943359732. The cubic root of 1234460800 is about 1072.7349604665.

The spelling of 1234460800 in words is "one billion, two hundred thirty-four million, four hundred sixty thousand, eight hundred".