49621600 has 72 divisors (see below), whose sum is σ = 138459888. Its totient is φ = 17011200.

The previous prime is 49621591. The next prime is 49621631. The reversal of 49621600 is 612694.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 10030.

It is an arithmetic number, because the mean of its divisors is an integer number (1923054).

Almost surely, 2^49621600 is an apocalyptic number.

49621600 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 49621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69229944).

49621600 is an abundant number, since it is smaller than the sum of its proper divisors (88838288).

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

49621600 is a wasteful number, since it uses less digits than its factorization.

49621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 49621600 is about 7044.2600746991. The cubic root of 49621600 is about 367.4714371495.

The spelling of 49621600 in words is "forty-nine million, six hundred twenty-one thousand, six hundred".