49438800 has 180 divisors, whose sum is σ = 177500544. Its totient is φ = 12729600.

The previous prime is 49438757. The next prime is 49438811. The reversal of 49438800 is 883494.

It is a tau number, because it is divible by the number of its divisors (180).

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, 111379 + ... + 111821.

Almost surely, 2^49438800 is an apocalyptic number.

49438800 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 49438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88750272).

49438800 is an abundant number, since it is smaller than the sum of its proper divisors (128061744).

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

49438800 is a wasteful number, since it uses less digits than its factorization.

49438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49438800 is about 7031.2729999624. The cubic root of 49438800 is about 367.0196417308.

The spelling of 49438800 in words is "forty-nine million, four hundred thirty-eight thousand, eight hundred".