120415488 has 144 divisors (see below), whose sum is σ = 354969216. Its totient is φ = 36044800.

The previous prime is 120415459. The next prime is 120415507. The reversal of 120415488 is 884514021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300088 + ... + 300488.

It is an arithmetic number, because the mean of its divisors is an integer number (2465064).

Almost surely, 2^120415488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177484608).

120415488 is an abundant number, since it is smaller than the sum of its proper divisors (234553728).

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

120415488 is a wasteful number, since it uses less digits than its factorization.

120415488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 120415488 is about 10973.3991087539. The cubic root of 120415488 is about 493.8110266288.

The spelling of 120415488 in words is "one hundred twenty million, four hundred fifteen thousand, four hundred eighty-eight".