120705440 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 45010944.

The previous prime is 120705437. The next prime is 120705451. The reversal of 120705440 is 44507021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541169 + ... + 541391.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^120705440 is an apocalyptic number.

120705440 is a gapful number since it is divisible by the number (10) 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 120705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

120705440 is an abundant number, since it is smaller than the sum of its proper divisors (184113760).

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

120705440 is a wasteful number, since it uses less digits than its factorization.

120705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 120705440 is about 10986.6027506231. The cubic root of 120705440 is about 494.2070629610.

The spelling of 120705440 in words is "one hundred twenty million, seven hundred five thousand, four hundred forty".