49563360 has 384 divisors, whose sum is σ = 217728000. Its totient is φ = 10229760.

The previous prime is 49563359. The next prime is 49563361. The reversal of 49563360 is 6336594.

It is an interprime number because it is at equal distance from previous prime (49563359) and next prime (49563361).

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 (49563361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332566 + ... + 332714.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^49563360 is an apocalyptic number.

49563360 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 49563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

49563360 is an abundant number, since it is smaller than the sum of its proper divisors (168164640).

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

49563360 is a wasteful number, since it uses less digits than its factorization.

49563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 49563360 is about 7040.1249988903. The cubic root of 49563360 is about 367.3276159451.

The spelling of 49563360 in words is "forty-nine million, five hundred sixty-three thousand, three hundred sixty".