1416400 has 30 divisors (see below), whose sum is σ = 3403862. Its totient is φ = 566400.

The previous prime is 1416341. The next prime is 1416433. The reversal of 1416400 is 46141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 1354896 = 248^2 + 1164^2 .

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1371 + ... + 2170.

2^1416400 is an apocalyptic number.

1416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416400 is an abundant number, since it is smaller than the sum of its proper divisors (1987462).

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

1416400 is a wasteful number, since it uses less digits than its factorization.

1416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1416400 is about 1190.1260437449. The cubic root of 1416400 is about 112.3040209356.

The spelling of 1416400 in words is "one million, four hundred sixteen thousand, four hundred".