48938288400 has 225 divisors, whose sum is σ = 175778615551. Its totient is φ = 13039591680.

The previous prime is 48938288369. The next prime is 48938288417. The reversal of 48938288400 is 488283984.

The square root of 48938288400 is 221220.

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

48938288400 is a `hidden beast` number, since 4 + 89 + 3 + 82 + 88 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12478677264 + 36459611136 = 111708^2 + 190944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39818986 + ... + 39820214.

Almost surely, 2^48938288400 is an apocalyptic number.

48938288400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48938288400 is the 221220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48938288400

48938288400 is an abundant number, since it is smaller than the sum of its proper divisors (126840327151).

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

48938288400 is an equidigital number, since it uses as much as digits as its factorization.

48938288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48938288400 in words is "forty-eight billion, nine hundred thirty-eight million, two hundred eighty-eight thousand, four hundred".