480667152 has 80 divisors (see below), whose sum is σ = 1464922112. Its totient is φ = 132900480.

The previous prime is 480667151. The next prime is 480667153. The reversal of 480667152 is 251766084.

It is an interprime number because it is at equal distance from previous prime (480667151) and next prime (480667153).

It is a super-3 number, since 3×480667152³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480667152.

It is not an unprimeable number, because it can be changed into a prime (480667151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12658 + ... + 33489.

Almost surely, 2^480667152 is an apocalyptic number.

480667152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480667152 is an abundant number, since it is smaller than the sum of its proper divisors (984254960).

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

480667152 is a wasteful number, since it uses less digits than its factorization.

480667152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46196 (or 46190 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 480667152 is about 21924.1226050212. The cubic root of 480667152 is about 783.3361119362.

The spelling of 480667152 in words is "four hundred eighty million, six hundred sixty-seven thousand, one hundred fifty-two".