480149120 has 128 divisors (see below), whose sum is σ = 1261846080. Its totient is φ = 173260800.

The previous prime is 480149119. The next prime is 480149147. The reversal of 480149120 is 21941084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 1696499 + ... + 1696781.

Almost surely, 2^480149120 is an apocalyptic number.

480149120 is a gapful number since it is divisible by the number (40) 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 480149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630923040).

480149120 is an abundant number, since it is smaller than the sum of its proper divisors (781696960).

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

480149120 is a wasteful number, since it uses less digits than its factorization.

480149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 480149120 is about 21912.3052187578. The cubic root of 480149120 is about 783.0546010975.

The spelling of 480149120 in words is "four hundred eighty million, one hundred forty-nine thousand, one hundred twenty".