50198400 has 384 divisors, whose sum is σ = 212486400. Its totient is φ = 11335680.

The previous prime is 50198353. The next prime is 50198411. The reversal of 50198400 is 489105.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 604759 + ... + 604841.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^50198400 is an apocalyptic number.

50198400 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 50198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

50198400 is an abundant number, since it is smaller than the sum of its proper divisors (162288000).

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

50198400 is a wasteful number, since it uses less digits than its factorization.

50198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 50198400 is about 7085.0829211802. The cubic root of 50198400 is about 368.8897813455.

The spelling of 50198400 in words is "fifty million, one hundred ninety-eight thousand, four hundred".