48614400 has 198 divisors, whose sum is σ = 174887492. Its totient is φ = 12902400.

The previous prime is 48614399. The next prime is 48614413. The reversal of 48614400 is 441684.

48614400 is a `hidden beast` number, since 4 + 8 + 614 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230295 + ... + 230505.

Almost surely, 2^48614400 is an apocalyptic number.

48614400 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 48614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87443746).

48614400 is an abundant number, since it is smaller than the sum of its proper divisors (126273092).

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

48614400 is a wasteful number, since it uses less digits than its factorization.

48614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48614400 is about 6972.4027422403. The cubic root of 48614400 is about 364.9681588537.

It can be divided in two parts, 4861 and 4400, that added together give a cube (9261 = 21³).

The spelling of 48614400 in words is "forty-eight million, six hundred fourteen thousand, four hundred".