48259302400 has 99 divisors (see below), whose sum is σ = 119711820871. Its totient is φ = 19289661440.

The previous prime is 48259302367. The next prime is 48259302409. The reversal of 48259302400 is 420395284.

It is a happy number.

The square root of 48259302400 is 219680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12565513216 + 35693789184 = 112096^2 + 188928^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48259302400.

It is not an unprimeable number, because it can be changed into a prime (48259302409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35148114 + ... + 35149486.

Almost surely, 2^48259302400 is an apocalyptic number.

48259302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48259302400 is the 219680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48259302400

48259302400 is an abundant number, since it is smaller than the sum of its proper divisors (71452518471).

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

48259302400 is an frugal number, since it uses more digits than its factorization.

48259302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 48259302400 its reverse (420395284), we get a palindrome (48679697684).

The spelling of 48259302400 in words is "forty-eight billion, two hundred fifty-nine million, three hundred two thousand, four hundred".