4846400 has 84 divisors (see below), whose sum is σ = 12897612. Its totient is φ = 1781760.

The previous prime is 4846379. The next prime is 4846409. The reversal of 4846400 is 46484.

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 3748096 = 1048^2 + 1936^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4846400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4846409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20684 + ... + 20916.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^4846400 is an apocalyptic number.

4846400 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 4846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448806).

4846400 is an abundant number, since it is smaller than the sum of its proper divisors (8051212).

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

4846400 is a wasteful number, since it uses less digits than its factorization.

4846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4846400 is about 2201.4540649307. The cubic root of 4846400 is about 169.2283364770.

It can be divided in two parts, 484 and 6400, that multiplied together give a square (3097600 = 1760²).

The spelling of 4846400 in words is "four million, eight hundred forty-six thousand, four hundred".