50982400 has 120 divisors (see below), whose sum is σ = 144611280. Its totient is φ = 17448960.

The previous prime is 50982361. The next prime is 50982401. The reversal of 50982400 is 428905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50982401) 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, 89316 + ... + 89884.

It is an arithmetic number, because the mean of its divisors is an integer number (1205094).

Almost surely, 2^50982400 is an apocalyptic number.

50982400 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 50982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72305640).

50982400 is an abundant number, since it is smaller than the sum of its proper divisors (93628880).

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

50982400 is an equidigital number, since it uses as much as digits as its factorization.

50982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 50982400 is about 7140.1960757391. The cubic root of 50982400 is about 370.8003129571.

The spelling of 50982400 in words is "fifty million, nine hundred eighty-two thousand, four hundred".