1146400 has 36 divisors (see below), whose sum is σ = 2800602. Its totient is φ = 458240.

The previous prime is 1146391. The next prime is 1146407. The reversal of 1146400 is 46411.

1146400 = T₁₃₆ + T₁₃₇ + ... + T₂₁₀.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1008016 + 138384 = 1004^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1146407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84 + ... + 1516.

2^1146400 is an apocalyptic number.

1146400 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 1146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400301).

1146400 is an abundant number, since it is smaller than the sum of its proper divisors (1654202).

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

1146400 is a wasteful number, since it uses less digits than its factorization.

1146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

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

The square root of 1146400 is about 1070.7007051459. The cubic root of 1146400 is about 104.6595169137.

The spelling of 1146400 in words is "one million, one hundred forty-six thousand, four hundred".