48461100 has 72 divisors (see below), whose sum is σ = 142365888. Its totient is φ = 12724800.

The previous prime is 48461087. The next prime is 48461131. The reversal of 48461100 is 116484.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18895 + ... + 21305.

It is an arithmetic number, because the mean of its divisors is an integer number (1977304).

Almost surely, 2^48461100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71182944).

48461100 is an abundant number, since it is smaller than the sum of its proper divisors (93904788).

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

48461100 is a wasteful number, since it uses less digits than its factorization.

48461100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48461100 is about 6961.4007211193. The cubic root of 48461100 is about 364.5841263293.

Adding to 48461100 its reverse (116484), we get a palindrome (48577584).

The spelling of 48461100 in words is "forty-eight million, four hundred sixty-one thousand, one hundred".