49827960 has 320 divisors, whose sum is σ = 207345600. Its totient is φ = 10513152.

The previous prime is 49827949. The next prime is 49827961. The reversal of 49827960 is 6972894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49827961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3832914 + ... + 3832926.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^49827960 is an apocalyptic number.

49827960 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 49827960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672800).

49827960 is an abundant number, since it is smaller than the sum of its proper divisors (157517640).

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

49827960 is a wasteful number, since it uses less digits than its factorization.

49827960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49827960 is about 7058.8922643712. The cubic root of 49827960 is about 367.9801304647.

The spelling of 49827960 in words is "forty-nine million, eight hundred twenty-seven thousand, nine hundred sixty".