480756000 has 96 divisors (see below), whose sum is σ = 1574995968. Its totient is φ = 128198400.

The previous prime is 480755987. The next prime is 480756007. The reversal of 480756000 is 657084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480756000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (480756007) 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, 8032 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (16406208).

Almost surely, 2^480756000 is an apocalyptic number.

480756000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480756000 is an abundant number, since it is smaller than the sum of its proper divisors (1094239968).

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

480756000 is a wasteful number, since it uses less digits than its factorization.

480756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40091 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 480756000 is about 21926.1487726413. The cubic root of 480756000 is about 783.3843737176.

The spelling of 480756000 in words is "four hundred eighty million, seven hundred fifty-six thousand".