49845840 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 11880960.

The previous prime is 49845827. The next prime is 49845841. The reversal of 49845840 is 4854894.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49845792 and 49845801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49845841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208441 + ... + 208679.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^49845840 is an apocalyptic number.

49845840 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 49845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

49845840 is an abundant number, since it is smaller than the sum of its proper divisors (121571760).

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

49845840 is a wasteful number, since it uses less digits than its factorization.

49845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 49845840 is about 7060.1586384443. The cubic root of 49845840 is about 368.0241398783.

The spelling of 49845840 in words is "forty-nine million, eight hundred forty-five thousand, eight hundred forty".