1240313200 has 240 divisors, whose sum is σ = 3666622464. Its totient is φ = 393523200.

The previous prime is 1240313189. The next prime is 1240313219. The reversal of 1240313200 is 23130421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3379417 + ... + 3379783.

Almost surely, 2^1240313200 is an apocalyptic number.

1240313200 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 1240313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833311232).

1240313200 is an abundant number, since it is smaller than the sum of its proper divisors (2426309264).

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

1240313200 is a wasteful number, since it uses less digits than its factorization.

1240313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1240313200 is about 35218.0805837002. The cubic root of 1240313200 is about 1074.4275156247.

Adding to 1240313200 its reverse (23130421), we get a palindrome (1263443621).

The spelling of 1240313200 in words is "one billion, two hundred forty million, three hundred thirteen thousand, two hundred".