49960512 has 84 divisors (see below), whose sum is σ = 163673536. Its totient is φ = 14273280.

The previous prime is 49960507. The next prime is 49960517. The reversal of 49960512 is 21506994.

49960512 is a `hidden beast` number, since 49 + 9 + 605 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49960507) and next prime (49960517).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (49960517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 10227.

Almost surely, 2^49960512 is an apocalyptic number.

49960512 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 49960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81836768).

49960512 is an abundant number, since it is smaller than the sum of its proper divisors (113713024).

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

49960512 is a wasteful number, since it uses less digits than its factorization.

49960512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49960512 is about 7068.2750370936. The cubic root of 49960512 is about 368.3061409644.

The spelling of 49960512 in words is "forty-nine million, nine hundred sixty thousand, five hundred twelve".