48496848400 has 675 divisors, whose sum is σ = 161439596055. Its totient is φ = 13953139200.

The previous prime is 48496848377. The next prime is 48496848443. The reversal of 48496848400 is 484869484.

The square root of 48496848400 is 220220.

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 12500134416 + 35996713984 = 111804^2 + 189728^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3730526794 + ... + 3730526806.

Almost surely, 2^48496848400 is an apocalyptic number.

48496848400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48496848400 is the 220220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48496848400

48496848400 is an abundant number, since it is smaller than the sum of its proper divisors (112942747655).

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

48496848400 is a wasteful number, since it uses less digits than its factorization.

48496848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 48496848400 in words is "forty-eight billion, four hundred ninety-six million, eight hundred forty-eight thousand, four hundred".