48577144 has 96 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 18469440.

The previous prime is 48577141. The next prime is 48577147. The reversal of 48577144 is 44177584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48577141) and next prime (48577147).

It is a junction number, because it is equal to n+sod(n) for n = 48577097 and 48577106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48577141) 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, 453939 + ... + 454045.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^48577144 is an apocalyptic number.

48577144 is a gapful number since it is divisible by the number (44) 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 48577144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

48577144 is an abundant number, since it is smaller than the sum of its proper divisors (68633096).

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

48577144 is a wasteful number, since it uses less digits than its factorization.

48577144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 125440, while the sum is 40.

The square root of 48577144 is about 6969.7305543328. The cubic root of 48577144 is about 364.8749030238.

The spelling of 48577144 in words is "forty-eight million, five hundred seventy-seven thousand, one hundred forty-four".