120438468 has 48 divisors (see below), whose sum is σ = 314280960. Its totient is φ = 39884832.

The previous prime is 120438467. The next prime is 120438499. The reversal of 120438468 is 864834021.

It is a super-3 number, since 3×120438468³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120438467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13405 + ... + 20507.

It is an arithmetic number, because the mean of its divisors is an integer number (6547520).

Almost surely, 2^120438468 is an apocalyptic number.

120438468 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 120438468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157140480).

120438468 is an abundant number, since it is smaller than the sum of its proper divisors (193842492).

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

120438468 is a wasteful number, since it uses less digits than its factorization.

120438468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 120438468 is about 10974.4461363661. The cubic root of 120438468 is about 493.8424374708.

The spelling of 120438468 in words is "one hundred twenty million, four hundred thirty-eight thousand, four hundred sixty-eight".