120380400 has 360 divisors, whose sum is σ = 507315744. Its totient is φ = 25804800.

The previous prime is 120380399. The next prime is 120380419. The reversal of 120380400 is 4083021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428260 + ... + 428540.

Almost surely, 2^120380400 is an apocalyptic number.

120380400 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 120380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253657872).

120380400 is an abundant number, since it is smaller than the sum of its proper divisors (386935344).

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

120380400 is a wasteful number, since it uses less digits than its factorization.

120380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120380400 is about 10971.8002169197. The cubic root of 120380400 is about 493.7630579252.

The spelling of 120380400 in words is "one hundred twenty million, three hundred eighty thousand, four hundred".