120407958 has 96 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 35964000.

The previous prime is 120407951. The next prime is 120407983. The reversal of 120407958 is 859704021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120407951) 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, 539835 + ... + 540057.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^120407958 is an apocalyptic number.

120407958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120407958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

120407958 is an abundant number, since it is smaller than the sum of its proper divisors (178992234).

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

120407958 is a wasteful number, since it uses less digits than its factorization.

120407958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 120407958 is about 10973.0560009507. The cubic root of 120407958 is about 493.8007331729.

The spelling of 120407958 in words is "one hundred twenty million, four hundred seven thousand, nine hundred fifty-eight".