49955840 has 88 divisors (see below), whose sum is σ = 130876992. Its totient is φ = 18145280.

The previous prime is 49955833. The next prime is 49955863. The reversal of 49955840 is 4855994.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 49955791 and 49955800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55877 + ... + 56763.

Almost surely, 2^49955840 is an apocalyptic number.

49955840 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 49955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65438496).

49955840 is an abundant number, since it is smaller than the sum of its proper divisors (80921152).

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

49955840 is a wasteful number, since it uses less digits than its factorization.

49955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 49955840 is about 7067.9445385487. The cubic root of 49955840 is about 368.2946600310.

The spelling of 49955840 in words is "forty-nine million, nine hundred fifty-five thousand, eight hundred forty".