49446144 has 108 divisors (see below), whose sum is σ = 155605632. Its totient is φ = 14976000.

The previous prime is 49446139. The next prime is 49446167. The reversal of 49446144 is 44164494.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49446099 and 49446108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24369 + ... + 26319.

Almost surely, 2^49446144 is an apocalyptic number.

49446144 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 49446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77802816).

49446144 is an abundant number, since it is smaller than the sum of its proper divisors (106159488).

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

49446144 is a wasteful number, since it uses less digits than its factorization.

49446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1967 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 49446144 is about 7031.7952188613. The cubic root of 49446144 is about 367.0378140893.

The spelling of 49446144 in words is "forty-nine million, four hundred forty-six thousand, one hundred forty-four".