49519800 has 288 divisors, whose sum is σ = 188894160. Its totient is φ = 11520000.

The previous prime is 49519783. The next prime is 49519817. The reversal of 49519800 is 891594.

It is an interprime number because it is at equal distance from previous prime (49519783) and next prime (49519817).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811770 + ... + 811830.

Almost surely, 2^49519800 is an apocalyptic number.

49519800 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 49519800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

49519800 is an abundant number, since it is smaller than the sum of its proper divisors (139374360).

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

49519800 is a wasteful number, since it uses less digits than its factorization.

49519800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 49519800 is about 7037.0306237788. The cubic root of 49519800 is about 367.2199727129.

The spelling of 49519800 in words is "forty-nine million, five hundred nineteen thousand, eight hundred".