480629760 has 352 divisors, whose sum is σ = 1733235840. Its totient is φ = 112852992.

The previous prime is 480629713. The next prime is 480629761. The reversal of 480629760 is 67926084.

It is a super-3 number, since 3×480629760³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480629761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5790679 + ... + 5790761.

Almost surely, 2^480629760 is an apocalyptic number.

480629760 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 480629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866617920).

480629760 is an abundant number, since it is smaller than the sum of its proper divisors (1252606080).

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

480629760 is a wasteful number, since it uses less digits than its factorization.

480629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 480629760 is about 21923.2698291108. The cubic root of 480629760 is about 783.3157990140.

The spelling of 480629760 in words is "four hundred eighty million, six hundred twenty-nine thousand, seven hundred sixty".