4326400 has 99 divisors (see below), whose sum is σ = 11612631. Its totient is φ = 1597440.

The previous prime is 4326383. The next prime is 4326401. The reversal of 4326400 is 46234.

4326400 = 1³ + 2³ + ... + 64³.

The square root of 4326400 is 2080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 3211264 = 1056^2 + 1792^2 .

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 332794 + ... + 332806.

Almost surely, 2^4326400 is an apocalyptic number.

4326400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4326400 is the 2080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4326400

4326400 is an abundant number, since it is smaller than the sum of its proper divisors (7286231).

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

4326400 is a wasteful number, since it uses less digits than its factorization.

4326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 4326400 is about 162.9454444999.

Multiplying 4326400 by its product of nonzero digits (576), we get a square (2492006400 = 49920²).

The spelling of 4326400 in words is "four million, three hundred twenty-six thousand, four hundred".