48461088 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 14257152.

The previous prime is 48461087. The next prime is 48461131. The reversal of 48461088 is 88016484.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (48461081) 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, 470445 + ... + 470547.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^48461088 is an apocalyptic number.

48461088 is a gapful number since it is divisible by the number (48) 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 48461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

48461088 is an abundant number, since it is smaller than the sum of its proper divisors (95420832).

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

48461088 is a wasteful number, since it uses less digits than its factorization.

48461088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 48461088 is about 6961.3998592237. The cubic root of 48461088 is about 364.5840962364.

It can be divided in two parts, 484 and 61088, that multiplied together give a palindrome (29566592).

The spelling of 48461088 in words is "forty-eight million, four hundred sixty-one thousand, eighty-eight".