48437760 has 320 divisors, whose sum is σ = 190916352. Its totient is φ = 10223616.

The previous prime is 48437749. The next prime is 48437771. The reversal of 48437760 is 6773484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48437749) and next prime (48437771).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913894 + ... + 913946.

Almost surely, 2^48437760 is an apocalyptic number.

48437760 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 48437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95458176).

48437760 is an abundant number, since it is smaller than the sum of its proper divisors (142478592).

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

48437760 is a wasteful number, since it uses less digits than its factorization.

48437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 48437760 is about 6959.7241324639. The cubic root of 48437760 is about 364.5255861808.

The spelling of 48437760 in words is "forty-eight million, four hundred thirty-seven thousand, seven hundred sixty".