120630480 has 80 divisors (see below), whose sum is σ = 382683840. Its totient is φ = 31417344.

The previous prime is 120630439. The next prime is 120630493. The reversal of 120630480 is 84036021.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120630480.

It is a congruent number.

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, 4476 + ... + 16164.

It is an arithmetic number, because the mean of its divisors is an integer number (4783548).

Almost surely, 2^120630480 is an apocalyptic number.

120630480 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 120630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191341920).

120630480 is an abundant number, since it is smaller than the sum of its proper divisors (262053360).

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

120630480 is a wasteful number, since it uses less digits than its factorization.

120630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120630480 is about 10983.1907932076. The cubic root of 120630480 is about 494.1047382915.

The spelling of 120630480 in words is "one hundred twenty million, six hundred thirty thousand, four hundred eighty".