49758160 has 40 divisors (see below), whose sum is σ = 116026056. Its totient is φ = 19845120.

The previous prime is 49758119. The next prime is 49758179. The reversal of 49758160 is 6185794.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 44036496 = 2392^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35880 + ... + 37240.

Almost surely, 2^49758160 is an apocalyptic number.

49758160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49758160 is an abundant number, since it is smaller than the sum of its proper divisors (66267896).

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

49758160 is a wasteful number, since it uses less digits than its factorization.

49758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 49758160 is about 7053.9464131789. The cubic root of 49758160 is about 367.8082255355.

The spelling of 49758160 in words is "forty-nine million, seven hundred fifty-eight thousand, one hundred sixty".