4918400 has 96 divisors (see below), whose sum is σ = 12806100. Its totient is φ = 1863680.

The previous prime is 4918399. The next prime is 4918411. The reversal of 4918400 is 48194.

4918400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 2383936 + 2534464 = 1544^2 + 1592^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4918400.

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 11 ways as a sum of consecutive naturals, for example, 92774 + ... + 92826.

Almost surely, 2^4918400 is an apocalyptic number.

4918400 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 4918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403050).

4918400 is an abundant number, since it is smaller than the sum of its proper divisors (7887700).

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

4918400 is a wasteful number, since it uses less digits than its factorization.

4918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4918400 is about 2217.7466041007. The cubic root of 4918400 is about 170.0622609317.

The spelling of 4918400 in words is "four million, nine hundred eighteen thousand, four hundred".