120468480 has 352 divisors, whose sum is σ = 452763648. Its totient is φ = 27033600.

The previous prime is 120468461. The next prime is 120468487. The reversal of 120468480 is 84864021.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120468487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886065 + ... + 3886095.

Almost surely, 2^120468480 is an apocalyptic number.

120468480 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 120468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226381824).

120468480 is an abundant number, since it is smaller than the sum of its proper divisors (332295168).

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

120468480 is a wasteful number, since it uses less digits than its factorization.

120468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 120468480 is about 10975.8134094927. The cubic root of 120468480 is about 493.8834541785.

The spelling of 120468480 in words is "one hundred twenty million, four hundred sixty-eight thousand, four hundred eighty".