1214254400 has 168 divisors, whose sum is σ = 3109789056. Its totient is φ = 466329600.

The previous prime is 1214254399. The next prime is 1214254403. The reversal of 1214254400 is 44524121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214254403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5038280 + ... + 5038520.

Almost surely, 2^1214254400 is an apocalyptic number.

1214254400 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 1214254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554894528).

1214254400 is an abundant number, since it is smaller than the sum of its proper divisors (1895534656).

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

1214254400 is a wasteful number, since it uses less digits than its factorization.

1214254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1214254400 is about 34846.1533027679. The cubic root of 1214254400 is about 1066.8496734610.

Adding to 1214254400 its reverse (44524121), we get a palindrome (1258778521).

The spelling of 1214254400 in words is "one billion, two hundred fourteen million, two hundred fifty-four thousand, four hundred".