50479200 has 360 divisors, whose sum is σ = 198502920. Its totient is φ = 12441600.

The previous prime is 50479153. The next prime is 50479201. The reversal of 50479200 is 297405.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50479201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1231180 + ... + 1231220.

It is an arithmetic number, because the mean of its divisors is an integer number (551397).

Almost surely, 2^50479200 is an apocalyptic number.

50479200 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 50479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99251460).

50479200 is an abundant number, since it is smaller than the sum of its proper divisors (148023720).

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

50479200 is a wasteful number, since it uses less digits than its factorization.

50479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 50479200 is about 7104.8715681566. The cubic root of 50479200 is about 369.5763351352.

The spelling of 50479200 in words is "fifty million, four hundred seventy-nine thousand, two hundred".