120448944 has 400 divisors, whose sum is σ = 466684416. Its totient is φ = 29030400.

The previous prime is 120448943. The next prime is 120448957. The reversal of 120448944 is 449844021.

120448944 is a `hidden beast` number, since 120 + 448 + 94 + 4 = 666.

It is a super-2 number, since 2×120448944² = 29015896221430272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120448899 and 120448908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120448943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1696429 + ... + 1696499.

Almost surely, 2^120448944 is an apocalyptic number.

120448944 is a gapful number since it is divisible by the number (14) 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 120448944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

120448944 is an abundant number, since it is smaller than the sum of its proper divisors (346235472).

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

120448944 is a wasteful number, since it uses less digits than its factorization.

120448944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 120448944 is about 10974.9234165893. The cubic root of 120448944 is about 493.8567555522.

The spelling of 120448944 in words is "one hundred twenty million, four hundred forty-eight thousand, nine hundred forty-four".