120578480 has 80 divisors (see below), whose sum is σ = 310185504. Its totient is φ = 43223040.

The previous prime is 120578473. The next prime is 120578531. The reversal of 120578480 is 84875021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120578480² = 29078339678220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120578480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63302 + ... + 65178.

Almost surely, 2^120578480 is an apocalyptic number.

120578480 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 120578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155092752).

120578480 is an abundant number, since it is smaller than the sum of its proper divisors (189607024).

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

120578480 is a wasteful number, since it uses less digits than its factorization.

120578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 120578480 is about 10980.8232842533. The cubic root of 120578480 is about 494.0337304248.

The spelling of 120578480 in words is "one hundred twenty million, five hundred seventy-eight thousand, four hundred eighty".