48610800 has 240 divisors, whose sum is σ = 198042880. Its totient is φ = 11093760.

The previous prime is 48610787. The next prime is 48610801. The reversal of 48610800 is 801684.

48610800 is a `hidden beast` number, since 48 + 610 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48610801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75279 + ... + 75921.

Almost surely, 2^48610800 is an apocalyptic number.

48610800 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 48610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99021440).

48610800 is an abundant number, since it is smaller than the sum of its proper divisors (149432080).

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

48610800 is a wasteful number, since it uses less digits than its factorization.

48610800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48610800 is about 6972.1445768142. The cubic root of 48610800 is about 364.9591497411.

The spelling of 48610800 in words is "forty-eight million, six hundred ten thousand, eight hundred".