50434800 has 240 divisors, whose sum is σ = 180175968. Its totient is φ = 11980800.

The previous prime is 50434789. The next prime is 50434817. The reversal of 50434800 is 843405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826770 + ... + 826830.

Almost surely, 2^50434800 is an apocalyptic number.

50434800 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 50434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90087984).

50434800 is an abundant number, since it is smaller than the sum of its proper divisors (129741168).

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

50434800 is a wasteful number, since it uses less digits than its factorization.

50434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 50434800 is about 7101.7462641241. The cubic root of 50434800 is about 369.4679472405.

It can be divided in two parts, 5043 and 4800, that multiplied together give a square (24206400 = 4920²).

The spelling of 50434800 in words is "fifty million, four hundred thirty-four thousand, eight hundred".