48601400 has 48 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 18963200.

The previous prime is 48601349. The next prime is 48601403. The reversal of 48601400 is 410684.

It is a happy number.

48601400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48601403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5237 + ... + 11163.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^48601400 is an apocalyptic number.

48601400 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 48601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

48601400 is an abundant number, since it is smaller than the sum of its proper divisors (67172440).

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

48601400 is a wasteful number, since it uses less digits than its factorization.

48601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 48601400 is about 6971.4704331296. The cubic root of 48601400 is about 364.9356238501.

The spelling of 48601400 in words is "forty-eight million, six hundred one thousand, four hundred".