48700512 has 288 divisors, whose sum is σ = 176904000. Its totient is φ = 12644352.

The previous prime is 48700511. The next prime is 48700513. The reversal of 48700512 is 21500784.

It is an interprime number because it is at equal distance from previous prime (48700511) and next prime (48700513).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48700511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679314 + ... + 1679342.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^48700512 is an apocalyptic number.

48700512 is a gapful number since it is divisible by the number (42) 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 48700512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

48700512 is an abundant number, since it is smaller than the sum of its proper divisors (128203488).

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

48700512 is a wasteful number, since it uses less digits than its factorization.

48700512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48700512 is about 6978.5752127494. The cubic root of 48700512 is about 365.1835243958.

The spelling of 48700512 in words is "forty-eight million, seven hundred thousand, five hundred twelve".