50642400 has 72 divisors (see below), whose sum is σ = 164848824. Its totient is φ = 13504000.

The previous prime is 50642399. The next prime is 50642407. The reversal of 50642400 is 424605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50642407) 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, 8151 + ... + 12950.

It is an arithmetic number, because the mean of its divisors is an integer number (2289567).

Almost surely, 2^50642400 is an apocalyptic number.

50642400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50642400 is an abundant number, since it is smaller than the sum of its proper divisors (114206424).

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

50642400 is a wasteful number, since it uses less digits than its factorization.

50642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21124 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 50642400 is about 7116.3473776931. The cubic root of 50642400 is about 369.9741886060.

The spelling of 50642400 in words is "fifty million, six hundred forty-two thousand, four hundred".