4313352400 has 270 divisors, whose sum is σ = 12510519030. Its totient is φ = 1424908800.

The previous prime is 4313352391. The next prime is 4313352443. The reversal of 4313352400 is 42533134.

It can be written as a sum of positive squares in 3 ways, for example, as 1031437456 + 3281914944 = 32116^2 + 57288^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 18835486 + ... + 18835714.

Almost surely, 2^4313352400 is an apocalyptic number.

4313352400 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 4313352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255259515).

4313352400 is an abundant number, since it is smaller than the sum of its proper divisors (8197166630).

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

4313352400 is a wasteful number, since it uses less digits than its factorization.

4313352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 4313352400 is about 65676.1174248296. The cubic root of 4313352400 is about 1627.8147539384.

Adding to 4313352400 its reverse (42533134), we get a palindrome (4355885534).

The spelling of 4313352400 in words is "four billion, three hundred thirteen million, three hundred fifty-two thousand, four hundred".