1416800 has 144 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 422400.

The previous prime is 1416799. The next prime is 1416803. The reversal of 1416800 is 86141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416803) 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, 61589 + ... + 61611.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2^1416800 is an apocalyptic number.

1416800 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 1416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1416800 is an abundant number, since it is smaller than the sum of its proper divisors (3082912).

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

1416800 is a wasteful number, since it uses less digits than its factorization.

1416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1416800 is about 1190.2940813093. The cubic root of 1416800 is about 112.3145917207.

The spelling of 1416800 in words is "one million, four hundred sixteen thousand, eight hundred".