480938640 has 480 divisors, whose sum is σ = 1968374016. Its totient is φ = 94556160.

The previous prime is 480938611. The next prime is 480938657. The reversal of 480938640 is 46839084.

It is a super-3 number, since 3×480938640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 480938592 and 480938601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7884210 + ... + 7884270.

Almost surely, 2^480938640 is an apocalyptic number.

480938640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984187008).

480938640 is an abundant number, since it is smaller than the sum of its proper divisors (1487435376).

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

480938640 is a wasteful number, since it uses less digits than its factorization.

480938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 480938640 is about 21930.3132672564. The cubic root of 480938640 is about 783.4835641645.

The spelling of 480938640 in words is "four hundred eighty million, nine hundred thirty-eight thousand, six hundred forty".