50294400 has 288 divisors, whose sum is σ = 185166720. Its totient is φ = 11980800.

The previous prime is 50294393. The next prime is 50294407. The reversal of 50294400 is 449205.

It is an interprime number because it is at equal distance from previous prime (50294393) and next prime (50294407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (50294407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1622385 + ... + 1622415.

It is an arithmetic number, because the mean of its divisors is an integer number (642940).

Almost surely, 2^50294400 is an apocalyptic number.

50294400 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 50294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583360).

50294400 is an abundant number, since it is smaller than the sum of its proper divisors (134872320).

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

50294400 is a wasteful number, since it uses less digits than its factorization.

50294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 50294400 is about 7091.8544824326. The cubic root of 50294400 is about 369.1247879589.

The spelling of 50294400 in words is "fifty million, two hundred ninety-four thousand, four hundred".