49971960 has 96 divisors (see below), whose sum is σ = 163837440. Its totient is φ = 13208832.

The previous prime is 49971953. The next prime is 49971973. The reversal of 49971960 is 6917994.

49971960 is a `hidden beast` number, since 499 + 71 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45174 + ... + 46266.

It is an arithmetic number, because the mean of its divisors is an integer number (1706640).

Almost surely, 2^49971960 is an apocalyptic number.

49971960 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 49971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81918720).

49971960 is an abundant number, since it is smaller than the sum of its proper divisors (113865480).

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

49971960 is a wasteful number, since it uses less digits than its factorization.

49971960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 49971960 is about 7069.0848063947. The cubic root of 49971960 is about 368.3342701577.

The spelling of 49971960 in words is "forty-nine million, nine hundred seventy-one thousand, nine hundred sixty".