50678400 has 96 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 13511680.

The previous prime is 50678393. The next prime is 50678401. The reversal of 50678400 is 487605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (50678401) 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, 6961 + ... + 12239.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^50678400 is an apocalyptic number.

50678400 is a gapful number since it is divisible by the number (50) 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 50678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

50678400 is an abundant number, since it is smaller than the sum of its proper divisors (116275200).

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

50678400 is a wasteful number, since it uses less digits than its factorization.

50678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 50678400 is about 7118.8763158240. The cubic root of 50678400 is about 370.0618352948.

The spelling of 50678400 in words is "fifty million, six hundred seventy-eight thousand, four hundred".