4314400 has 36 divisors (see below), whose sum is σ = 10534482. Its totient is φ = 1725440.

The previous prime is 4314391. The next prime is 4314403. The reversal of 4314400 is 44134.

4314400 = T₃₀₁ + T₃₀₂ + ... + T₃₇₅.

It can be written as a sum of positive squares in 3 ways, for example, as 4048144 + 266256 = 2012^2 + 516^2 .

It is a super-2 number, since 2×4314400² = 37228094720000, which contains 22 as substring.

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 (4314403) 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, 1897 + ... + 3496.

Almost surely, 2^4314400 is an apocalyptic number.

4314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314400 is an abundant number, since it is smaller than the sum of its proper divisors (6220082).

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

4314400 is a wasteful number, since it uses less digits than its factorization.

4314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4314400 is about 2077.1133815948. The cubic root of 4314400 is about 162.7946527753.

Adding to 4314400 its reverse (44134), we get a palindrome (4358534).

The spelling of 4314400 in words is "four million, three hundred fourteen thousand, four hundred".