1214444400 has 120 divisors (see below), whose sum is σ = 4189575600. Its totient is φ = 298936320.

The previous prime is 1214444389. The next prime is 1214444411. The reversal of 1214444400 is 44444121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1214444389) and next prime (1214444411).

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23325 + ... + 54524.

It is an arithmetic number, because the mean of its divisors is an integer number (34913130).

Almost surely, 2^1214444400 is an apocalyptic number.

1214444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214444400 is an abundant number, since it is smaller than the sum of its proper divisors (2975131200).

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

1214444400 is a wasteful number, since it uses less digits than its factorization.

1214444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77883 (or 77872 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1214444400 is about 34848.8794654864. The cubic root of 1214444400 is about 1066.9053155259.

Adding to 1214444400 its reverse (44444121), we get a palindrome (1258888521).

The spelling of 1214444400 in words is "one billion, two hundred fourteen million, four hundred forty-four thousand, four hundred".