49600512 has 240 divisors, whose sum is σ = 166486320. Its totient is φ = 14598144.

The previous prime is 49600511. The next prime is 49600513. The reversal of 49600512 is 21500694.

49600512 is a `hidden beast` number, since 4 + 9 + 600 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49600511) and next prime (49600513).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49600511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156533 + ... + 2156555.

It is an arithmetic number, because the mean of its divisors is an integer number (693693).

Almost surely, 2^49600512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160).

49600512 is an abundant number, since it is smaller than the sum of its proper divisors (116885808).

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

49600512 is a wasteful number, since it uses less digits than its factorization.

49600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 49600512 is about 7042.7630941272. The cubic root of 49600512 is about 367.4193742329.

The spelling of 49600512 in words is "forty-nine million, six hundred thousand, five hundred twelve".