120453840 has 240 divisors, whose sum is σ = 461876688. Its totient is φ = 27869184.

The previous prime is 120453821. The next prime is 120453841. The reversal of 120453840 is 48354021.

120453840 is a `hidden beast` number, since 120 + 4 + 538 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 419904 + 120033936 = 648^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120453841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158742 + ... + 159498.

Almost surely, 2^120453840 is an apocalyptic number.

120453840 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 120453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230938344).

120453840 is an abundant number, since it is smaller than the sum of its proper divisors (341422848).

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

120453840 is a wasteful number, since it uses less digits than its factorization.

120453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120453840 is about 10975.1464682709. The cubic root of 120453840 is about 493.8634468795.

The spelling of 120453840 in words is "one hundred twenty million, four hundred fifty-three thousand, eight hundred forty".