50412960 has 144 divisors (see below), whose sum is σ = 185336424. Its totient is φ = 12404736.

The previous prime is 50412959. The next prime is 50412961. The reversal of 50412960 is 6921405.

It is an interprime number because it is at equal distance from previous prime (50412959) and next prime (50412961).

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 21123216 = 5412^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (50412961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17374 + ... + 20066.

Almost surely, 2^50412960 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 50412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92668212).

50412960 is an abundant number, since it is smaller than the sum of its proper divisors (134923464).

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

50412960 is a wasteful number, since it uses less digits than its factorization.

50412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

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

The square root of 50412960 is about 7100.2084476443. The cubic root of 50412960 is about 369.4146087718.

It can be divided in two parts, 5041 and 2960, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 50412960 in words is "fifty million, four hundred twelve thousand, nine hundred sixty".