49959360 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 11335680.

The previous prime is 49959353. The next prime is 49959367. The reversal of 49959360 is 6395994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49959353) and next prime (49959367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49959367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601879 + ... + 601961.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^49959360 is an apocalyptic number.

49959360 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 49959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

49959360 is an abundant number, since it is smaller than the sum of its proper divisors (149745600).

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

49959360 is a wasteful number, since it uses less digits than its factorization.

49959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 49959360 is about 7068.1935457371. The cubic root of 49959360 is about 368.3033101158.

The spelling of 49959360 in words is "forty-nine million, nine hundred fifty-nine thousand, three hundred sixty".