48861400 has 96 divisors (see below), whose sum is σ = 137535840. Its totient is φ = 15759360.

The previous prime is 48861391. The next prime is 48861401. The reversal of 48861400 is 416884.

48861400 = 281² + 282² + ... + 552².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48861401) 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, 22774 + ... + 24826.

It is an arithmetic number, because the mean of its divisors is an integer number (1432665).

Almost surely, 2^48861400 is an apocalyptic number.

48861400 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 48861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68767920).

48861400 is an abundant number, since it is smaller than the sum of its proper divisors (88674440).

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

48861400 is a wasteful number, since it uses less digits than its factorization.

48861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48861400 is about 6990.0929893672. The cubic root of 48861400 is about 365.5852249327.

The spelling of 48861400 in words is "forty-eight million, eight hundred sixty-one thousand, four hundred".