49955400 has 288 divisors, whose sum is σ = 194407200. Its totient is φ = 11692800.

The previous prime is 49955383. The next prime is 49955419. The reversal of 49955400 is 455994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1722586 + ... + 1722614.

It is an arithmetic number, because the mean of its divisors is an integer number (675025).

Almost surely, 2^49955400 is an apocalyptic number.

49955400 is a gapful number since it is divisible by the number (40) 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 49955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203600).

49955400 is an abundant number, since it is smaller than the sum of its proper divisors (144451800).

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

49955400 is a wasteful number, since it uses less digits than its factorization.

49955400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49955400 is about 7067.9134120333. The cubic root of 49955400 is about 368.2935787419.

The spelling of 49955400 in words is "forty-nine million, nine hundred fifty-five thousand, four hundred".