48694800 has 480 divisors, whose sum is σ = 212557824. Its totient is φ = 9216000.

The previous prime is 48694787. The next prime is 48694819. The reversal of 48694800 is 849684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570785 + ... + 1570815.

Almost surely, 2^48694800 is an apocalyptic number.

48694800 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 48694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

48694800 is an abundant number, since it is smaller than the sum of its proper divisors (163863024).

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

48694800 is a wasteful number, since it uses less digits than its factorization.

48694800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 48694800 is about 6978.1659481557. The cubic root of 48694800 is about 365.1692465867.

It can be divided in two parts, 48694 and 800, that added together give a palindrome (49494).

The spelling of 48694800 in words is "forty-eight million, six hundred ninety-four thousand, eight hundred".