120070440 has 384 divisors, whose sum is σ = 485222400. Its totient is φ = 25159680.

The previous prime is 120070421. The next prime is 120070453. The reversal of 120070440 is 44070021.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265454 + ... + 2265506.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^120070440 is an apocalyptic number.

120070440 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 120070440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

120070440 is an abundant number, since it is smaller than the sum of its proper divisors (365151960).

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

120070440 is a wasteful number, since it uses less digits than its factorization.

120070440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120070440 is about 10957.6658098338. The cubic root of 120070440 is about 493.3389070874.

The spelling of 120070440 in words is "one hundred twenty million, seventy thousand, four hundred forty".