49935600 has 360 divisors, whose sum is σ = 205684752. Its totient is φ = 11059200.

The previous prime is 49935583. The next prime is 49935601. The reversal of 49935600 is 653994.

49935600 is a `hidden beast` number, since 4 + 9 + 93 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49935601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514752 + ... + 514848.

Almost surely, 2^49935600 is an apocalyptic number.

49935600 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 49935600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102842376).

49935600 is an abundant number, since it is smaller than the sum of its proper divisors (155749152).

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

49935600 is a wasteful number, since it uses less digits than its factorization.

49935600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 49935600 is about 7066.5125769364. The cubic root of 49935600 is about 368.2449141564.

The spelling of 49935600 in words is "forty-nine million, nine hundred thirty-five thousand, six hundred".