48119760 has 240 divisors, whose sum is σ = 179144784. Its totient is φ = 11501568.

The previous prime is 48119717. The next prime is 48119791. The reversal of 48119760 is 6791184.

It can be written as a sum of positive squares in 8 ways, for example, as 1498176 + 46621584 = 1224^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×48119760² = 4631022604915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496032 + ... + 496128.

Almost surely, 2^48119760 is an apocalyptic number.

48119760 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 48119760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

48119760 is an abundant number, since it is smaller than the sum of its proper divisors (131025024).

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

48119760 is a wasteful number, since it uses less digits than its factorization.

48119760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 48119760 is about 6936.8407794903. The cubic root of 48119760 is about 363.7261152702.

The spelling of 48119760 in words is "forty-eight million, one hundred nineteen thousand, seven hundred sixty".