49759600 has 120 divisors (see below), whose sum is σ = 133955712. Its totient is φ = 17606400.

The previous prime is 49759571. The next prime is 49759631. The reversal of 49759600 is 695794.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189069 + ... + 189331.

Almost surely, 2^49759600 is an apocalyptic number.

49759600 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 49759600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977856).

49759600 is an abundant number, since it is smaller than the sum of its proper divisors (84196112).

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

49759600 is a wasteful number, since it uses less digits than its factorization.

49759600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 49759600 is about 7054.0484829635. The cubic root of 49759600 is about 367.8117736218.

The spelling of 49759600 in words is "forty-nine million, seven hundred fifty-nine thousand, six hundred".