48584976400 has 135 divisors (see below), whose sum is σ = 118981545501. Its totient is φ = 19065448320.

The previous prime is 48584976329. The next prime is 48584976409. The reversal of 48584976400 is 467948584.

It is a happy number.

The square root of 48584976400 is 220420.

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

48584976400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17490591504 + 31094384896 = 132252^2 + 176336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48584976409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 454065147 + ... + 454065253.

Almost surely, 2^48584976400 is an apocalyptic number.

48584976400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48584976400 is the 220420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48584976400

48584976400 is an abundant number, since it is smaller than the sum of its proper divisors (70396569101).

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

48584976400 is a wasteful number, since it uses less digits than its factorization.

48584976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 48584976400 in words is "forty-eight billion, five hundred eighty-four million, nine hundred seventy-six thousand, four hundred".