120957408 has 288 divisors, whose sum is σ = 422301600. Its totient is φ = 33454080.

The previous prime is 120957407. The next prime is 120957427. The reversal of 120957408 is 804759021.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120957407) 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, 1359028 + ... + 1359116.

It is an arithmetic number, because the mean of its divisors is an integer number (1466325).

Almost surely, 2^120957408 is an apocalyptic number.

120957408 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 120957408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211150800).

120957408 is an abundant number, since it is smaller than the sum of its proper divisors (301344192).

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

120957408 is a wasteful number, since it uses less digits than its factorization.

120957408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

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

The square root of 120957408 is about 10998.0638296020. The cubic root of 120957408 is about 494.5507034215.

It can be divided in two parts, 12095 and 7408, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 120957408 in words is "one hundred twenty million, nine hundred fifty-seven thousand, four hundred eight".