50600400 has 120 divisors (see below), whose sum is σ = 163754400. Its totient is φ = 13355520.

The previous prime is 50600399. The next prime is 50600413. The reversal of 50600400 is 400605.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50600400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178659 + ... + 178941.

It is an arithmetic number, because the mean of its divisors is an integer number (1364620).

Almost surely, 2^50600400 is an apocalyptic number.

50600400 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 50600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81877200).

50600400 is an abundant number, since it is smaller than the sum of its proper divisors (113154000).

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

50600400 is a wasteful number, since it uses less digits than its factorization.

50600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 50600400 is about 7113.3958135338. The cubic root of 50600400 is about 369.8718816221.

The spelling of 50600400 in words is "fifty million, six hundred thousand, four hundred".