49276800 has 288 divisors, whose sum is σ = 184977000. Its totient is φ = 12472320.

The previous prime is 49276783. The next prime is 49276811. The reversal of 49276800 is 867294.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 835171 + ... + 835229.

Almost surely, 2^49276800 is an apocalyptic number.

49276800 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 49276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92488500).

49276800 is an abundant number, since it is smaller than the sum of its proper divisors (135700200).

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

49276800 is a wasteful number, since it uses less digits than its factorization.

49276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 49276800 is about 7019.7435850606. The cubic root of 49276800 is about 366.6183223681.

The spelling of 49276800 in words is "forty-nine million, two hundred seventy-six thousand, eight hundred".