4840430400 has 840 divisors, whose sum is σ = 20407990680. Its totient is φ = 1121402880.

The previous prime is 4840430393. The next prime is 4840430401. The reversal of 4840430400 is 40340484.

It can be written as a sum of positive squares in 12 ways, for example, as 4639244544 + 201185856 = 68112^2 + 14184^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840430401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 284731192 + ... + 284731208.

It is an arithmetic number, because the mean of its divisors is an integer number (24295227).

Almost surely, 2^4840430400 is an apocalyptic number.

4840430400 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 4840430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203995340).

4840430400 is an abundant number, since it is smaller than the sum of its proper divisors (15567560280).

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

4840430400 is a wasteful number, since it uses less digits than its factorization.

4840430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4840430400 is about 69573.2017374506. The cubic root of 4840430400 is about 1691.5882504952.

Adding to 4840430400 its reverse (40340484), we get a palindrome (4880770884).

The spelling of 4840430400 in words is "four billion, eight hundred forty million, four hundred thirty thousand, four hundred".