49006560 has 144 divisors (see below), whose sum is σ = 162210384. Its totient is φ = 12435456.

The previous prime is 49006519. The next prime is 49006561. The reversal of 49006560 is 6560094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49006561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253824 + ... + 254016.

It is an arithmetic number, because the mean of its divisors is an integer number (1126461).

Almost surely, 2^49006560 is an apocalyptic number.

49006560 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 49006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105192).

49006560 is an abundant number, since it is smaller than the sum of its proper divisors (113203824).

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

49006560 is a wasteful number, since it uses less digits than its factorization.

49006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 49006560 is about 7000.4685557468. The cubic root of 49006560 is about 365.9469002365.

The spelling of 49006560 in words is "forty-nine million, six thousand, five hundred sixty".