480625414080 has 672 divisors, whose sum is σ = 1826312832000. Its totient is φ = 106725040128.

The previous prime is 480625414051. The next prime is 480625414103. The reversal of 480625414080 is 80414526084.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×480625414080³ (a number of 36 digits) contains 333 as substring.

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

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, 329420391 + ... + 329421849.

Almost surely, 2^480625414080 is an apocalyptic number.

480625414080 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 480625414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913156416000).

480625414080 is an abundant number, since it is smaller than the sum of its proper divisors (1345687417920).

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

480625414080 is a wasteful number, since it uses less digits than its factorization.

480625414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 480625414080 in words is "four hundred eighty billion, six hundred twenty-five million, four hundred fourteen thousand, eighty".