120255408 has 480 divisors, whose sum is σ = 474969600. Its totient is φ = 28740096.

The previous prime is 120255383. The next prime is 120255409. The reversal of 120255408 is 804552021.

It is a happy number.

120255408 is a `hidden beast` number, since 1 + 2 + 0 + 255 + 408 = 666.

It is a super-2 number, since 2×120255408² = 28922726306492928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120255409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5228485 + ... + 5228507.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^120255408 is an apocalyptic number.

120255408 is a gapful number since it is divisible by the number (18) 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 120255408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

120255408 is an abundant number, since it is smaller than the sum of its proper divisors (354714192).

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

120255408 is a wasteful number, since it uses less digits than its factorization.

120255408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120255408 is about 10966.1026805333. The cubic root of 120255408 is about 493.5921059411.

The spelling of 120255408 in words is "one hundred twenty million, two hundred fifty-five thousand, four hundred eight".