480151920 has 40 divisors (see below), whose sum is σ = 1488471696. Its totient is φ = 128040448.

The previous prime is 480151909. The next prime is 480151921. The reversal of 480151920 is 29151084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480151921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000077 + ... + 1000556.

Almost surely, 2^480151920 is an apocalyptic number.

480151920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480151920 is an abundant number, since it is smaller than the sum of its proper divisors (1008319776).

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

480151920 is a wasteful number, since it uses less digits than its factorization.

480151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000649 (or 2000643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 480151920 is about 21912.3691097061. The cubic root of 480151920 is about 783.0561232278.

The spelling of 480151920 in words is "four hundred eighty million, one hundred fifty-one thousand, nine hundred twenty".