120452400 has 240 divisors, whose sum is σ = 452054400. Its totient is φ = 30378240.

The previous prime is 120452389. The next prime is 120452401. The reversal of 120452400 is 4254021.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120452401) 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, 204907 + ... + 205493.

It is an arithmetic number, because the mean of its divisors is an integer number (1883560).

Almost surely, 2^120452400 is an apocalyptic number.

120452400 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 120452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226027200).

120452400 is an abundant number, since it is smaller than the sum of its proper divisors (331602000).

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

120452400 is a wasteful number, since it uses less digits than its factorization.

120452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120452400 is about 10975.0808653057. The cubic root of 120452400 is about 493.8614788609.

The spelling of 120452400 in words is "one hundred twenty million, four hundred fifty-two thousand, four hundred".