48594400 has 144 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 17487360.

The previous prime is 48594397. The next prime is 48594409. The reversal of 48594400 is 449584.

It is a super-2 number, since 2×48594400² = 4722831422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48594409) 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, 349531 + ... + 349669.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^48594400 is an apocalyptic number.

48594400 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 48594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

48594400 is an abundant number, since it is smaller than the sum of its proper divisors (82647200).

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

48594400 is a wasteful number, since it uses less digits than its factorization.

48594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 48594400 is about 6970.9683688853. The cubic root of 48594400 is about 364.9181025988.

The spelling of 48594400 in words is "forty-eight million, five hundred ninety-four thousand, four hundred".