48353760 has 480 divisors, whose sum is σ = 215151552. Its totient is φ = 9953280.

The previous prime is 48353749. The next prime is 48353777. The reversal of 48353760 is 6735384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×48353760² = 4676172212275200, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179340 + ... + 1179380.

Almost surely, 2^48353760 is an apocalyptic number.

48353760 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 48353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776).

48353760 is an abundant number, since it is smaller than the sum of its proper divisors (166797792).

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

48353760 is a wasteful number, since it uses less digits than its factorization.

48353760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 48353760 is about 6953.6867919112. The cubic root of 48353760 is about 364.3147460797.

The spelling of 48353760 in words is "forty-eight million, three hundred fifty-three thousand, seven hundred sixty".