480707075000 has 96 divisors (see below), whose sum is σ = 1128298565520. Its totient is φ = 191990400000.

The previous prime is 480707074997. The next prime is 480707075003. The reversal of 480707075000 is 570707084.

It is an interprime number because it is at equal distance from previous prime (480707074997) and next prime (480707075003).

It is a super-3 number, since 3×480707075000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480707075003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16810715 + ... + 16839285.

Almost surely, 2^480707075000 is an apocalyptic number.

480707075000 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 480707075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564149282760).

480707075000 is an abundant number, since it is smaller than the sum of its proper divisors (647591490520).

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

480707075000 is an equidigital number, since it uses as much as digits as its factorization.

480707075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29275 (or 29251 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The spelling of 480707075000 in words is "four hundred eighty billion, seven hundred seven million, seventy-five thousand".