1214400 has 168 divisors, whose sum is σ = 4535424. Its totient is φ = 281600.

The previous prime is 1214393. The next prime is 1214401. The reversal of 1214400 is 44121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214401) 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, 52789 + ... + 52811.

2^1214400 is an apocalyptic number.

1214400 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 1214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267712).

1214400 is an abundant number, since it is smaller than the sum of its proper divisors (3321024).

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

1214400 is a wasteful number, since it uses less digits than its factorization.

1214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1214400 is about 1101.9981851165. The cubic root of 1214400 is about 106.6892313374.

1214400 divided by its product of nonzero digits (32) gives a triangular number (37950 = T₂₇₅).

Adding to 1214400 its reverse (44121), we get a palindrome (1258521).

The spelling of 1214400 in words is "one million, two hundred fourteen thousand, four hundred".