49588000 has 288 divisors, whose sum is σ = 161336448. Its totient is φ = 14784000.

The previous prime is 49587991. The next prime is 49588051. The reversal of 49588000 is 88594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2155989 + ... + 2156011.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^49588000 is an apocalyptic number.

49588000 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 49588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

49588000 is an abundant number, since it is smaller than the sum of its proper divisors (111748448).

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

49588000 is a wasteful number, since it uses less digits than its factorization.

49588000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 49588000 is about 7041.8747503772. The cubic root of 49588000 is about 367.3884771202.

It can be divided in two parts, 495 and 88000, that multiplied together give a square (43560000 = 6600²).

The spelling of 49588000 in words is "forty-nine million, five hundred eighty-eight thousand".