48364000 has 96 divisors (see below), whose sum is σ = 121002336. Its totient is φ = 18995200.

The previous prime is 48363989. The next prime is 48364003. The reversal of 48364000 is 46384.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48364003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427944 + ... + 428056.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441).

Almost surely, 2^48364000 is an apocalyptic number.

48364000 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 48364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501168).

48364000 is an abundant number, since it is smaller than the sum of its proper divisors (72638336).

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

48364000 is a wasteful number, since it uses less digits than its factorization.

48364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 48364000 is about 6954.4230529930. The cubic root of 48364000 is about 364.3404615545.

It can be divided in two parts, 4836 and 4000, that added together give a square (8836 = 94²).

The spelling of 48364000 in words is "forty-eight million, three hundred sixty-four thousand".