49618800 has 360 divisors, whose sum is σ = 215879040. Its totient is φ = 10252800.

The previous prime is 49618787. The next prime is 49618831. The reversal of 49618800 is 881694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277111 + ... + 277289.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^49618800 is an apocalyptic number.

49618800 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 49618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

49618800 is an abundant number, since it is smaller than the sum of its proper divisors (166260240).

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

49618800 is a wasteful number, since it uses less digits than its factorization.

49618800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49618800 is about 7044.0613285235. The cubic root of 49618800 is about 367.4645252443.

The spelling of 49618800 in words is "forty-nine million, six hundred eighteen thousand, eight hundred".