49179520 has 128 divisors (see below), whose sum is σ = 132632640. Its totient is φ = 17301504.

The previous prime is 49179517. The next prime is 49179523. The reversal of 49179520 is 2597194.

49179520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49179517) and next prime (49179523).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×49179520³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49179520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49179523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191232 + ... + 191488.

Almost surely, 2^49179520 is an apocalyptic number.

49179520 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 49179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66316320).

49179520 is an abundant number, since it is smaller than the sum of its proper divisors (83453120).

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

49179520 is a wasteful number, since it uses less digits than its factorization.

49179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 49179520 is about 7012.8111339177. The cubic root of 49179520 is about 366.3769097403.

The spelling of 49179520 in words is "forty-nine million, one hundred seventy-nine thousand, five hundred twenty".