480688740 has 144 divisors (see below), whose sum is σ = 1702052352. Its totient is φ = 107520768.

The previous prime is 480688727. The next prime is 480688807. The reversal of 480688740 is 47886084.

It is a super-3 number, since 3×480688740³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55162 + ... + 63278.

It is an arithmetic number, because the mean of its divisors is an integer number (11819808).

Almost surely, 2^480688740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851026176).

480688740 is an abundant number, since it is smaller than the sum of its proper divisors (1221363612).

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

480688740 is a wasteful number, since it uses less digits than its factorization.

480688740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 480688740 is about 21924.6149339048. The cubic root of 480688740 is about 783.3478389749.

The spelling of 480688740 in words is "four hundred eighty million, six hundred eighty-eight thousand, seven hundred forty".