49140960 has 192 divisors, whose sum is σ = 173746944. Its totient is φ = 11571200.

The previous prime is 49140953. The next prime is 49140961. The reversal of 49140960 is 6904194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49140961) 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, 216367 + ... + 216593.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^49140960 is an apocalyptic number.

49140960 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 49140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

49140960 is an abundant number, since it is smaller than the sum of its proper divisors (124605984).

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

49140960 is a wasteful number, since it uses less digits than its factorization.

49140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 49140960 is about 7010.0613406731. The cubic root of 49140960 is about 366.2811301181.

The spelling of 49140960 in words is "forty-nine million, one hundred forty thousand, nine hundred sixty".