480965240 has 64 divisors (see below), whose sum is σ = 1301875200. Its totient is φ = 156221568.

The previous prime is 480965239. The next prime is 480965263. The reversal of 480965240 is 42569084.

480965240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480965240³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 480965194 and 480965203.

It is a congruent number.

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, 39884 + ... + 50523.

It is an arithmetic number, because the mean of its divisors is an integer number (20341800).

Almost surely, 2^480965240 is an apocalyptic number.

480965240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480965240 is an abundant number, since it is smaller than the sum of its proper divisors (820909960).

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

480965240 is a wasteful number, since it uses less digits than its factorization.

480965240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90444 (or 90440 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 480965240 is about 21930.9197253558. The cubic root of 480965240 is about 783.4980083346.

The spelling of 480965240 in words is "four hundred eighty million, nine hundred sixty-five thousand, two hundred forty".