49778400 has 144 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 11374080.

The previous prime is 49778383. The next prime is 49778401. The reversal of 49778400 is 487794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49778401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15319 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^49778400 is an apocalyptic number.

49778400 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 49778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

49778400 is an abundant number, since it is smaller than the sum of its proper divisors (135459744).

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

49778400 is a wasteful number, since it uses less digits than its factorization.

49778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 49778400 is about 7055.3809252230. The cubic root of 49778400 is about 367.8580895801.

The spelling of 49778400 in words is "forty-nine million, seven hundred seventy-eight thousand, four hundred".