4046400 has 126 divisors (see below), whose sum is σ = 14433042. Its totient is φ = 1075200.

The previous prime is 4046389. The next prime is 4046401. The reversal of 4046400 is 46404.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 3594816 = 672^2 + 1896^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4046401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14260 + ... + 14540.

Almost surely, 2^4046400 is an apocalyptic number.

4046400 is a gapful number since it is divisible by the number (40) 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 4046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216521).

4046400 is an abundant number, since it is smaller than the sum of its proper divisors (10386642).

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

4046400 is a wasteful number, since it uses less digits than its factorization.

4046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4046400 is about 2011.5665537088. The cubic root of 4046400 is about 159.3515421069.

The spelling of 4046400 in words is "four million, forty-six thousand, four hundred".