4320248400 has 540 divisors, whose sum is σ = 16899730848. Its totient is φ = 1059402240.

The previous prime is 4320248357. The next prime is 4320248453. The reversal of 4320248400 is 48420234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16426669 + ... + 16426931.

Almost surely, 2^4320248400 is an apocalyptic number.

4320248400 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 4320248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449865424).

4320248400 is an abundant number, since it is smaller than the sum of its proper divisors (12579482448).

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

4320248400 is a wasteful number, since it uses less digits than its factorization.

4320248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 286 counting only the distinct ones).

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

The square root of 4320248400 is about 65728.5965162805. The cubic root of 4320248400 is about 1628.6817851613.

Adding to 4320248400 its reverse (48420234), we get a palindrome (4368668634).

The spelling of 4320248400 in words is "four billion, three hundred twenty million, two hundred forty-eight thousand, four hundred".