1424400 has 60 divisors (see below), whose sum is σ = 4566672. Its totient is φ = 379520.

The previous prime is 1424399. The next prime is 1424407. The reversal of 1424400 is 44241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1424400.

It is not an unprimeable number, because it can be changed into a prime (1424407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607 + ... + 1793.

2^1424400 is an apocalyptic number.

1424400 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 1424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283336).

1424400 is an abundant number, since it is smaller than the sum of its proper divisors (3142272).

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

1424400 is a wasteful number, since it uses less digits than its factorization.

1424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1424400 is about 1193.4822998269. The cubic root of 1424400 is about 112.5150597124.

Adding to 1424400 its reverse (44241), we get a palindrome (1468641).

The spelling of 1424400 in words is "one million, four hundred twenty-four thousand, four hundred".