4496400 has 90 divisors (see below), whose sum is σ = 15616250. Its totient is φ = 1198080.

The previous prime is 4496389. The next prime is 4496411. The reversal of 4496400 is 46944.

It is an interprime number because it is at equal distance from previous prime (4496389) and next prime (4496411).

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 4309776 = 432^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×4496400² = 40435225920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2976 + ... + 4224.

Almost surely, 2^4496400 is an apocalyptic number.

4496400 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 4496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808125).

4496400 is an abundant number, since it is smaller than the sum of its proper divisors (11119850).

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

4496400 is a wasteful number, since it uses less digits than its factorization.

4496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4496400 is about 2120.4716456487. The cubic root of 4496400 is about 165.0523250027.

Subtracting from 4496400 its product of nonzero digits (3456), we obtain a palindrome (4492944).

The spelling of 4496400 in words is "four million, four hundred ninety-six thousand, four hundred".