207480 has 128 divisors (see below), whose sum is σ = 806400. Its totient is φ = 41472.

The previous prime is 207479. The next prime is 207481. The reversal of 207480 is 84702.

It is a happy number.

207480 is nontrivially palindromic in base 9.

207480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (207479) and next prime (207481).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2²⁰⁷⁴⁸⁰ is an apocalyptic number.

207480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 455×456.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

207480 is an abundant number, since it is smaller than the sum of its proper divisors (598920).

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

207480 is a wasteful number, since it uses less digits than its factorization.

207480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 207480 is about 455.4997255762. The cubic root of 207480 is about 59.2005052307.

The spelling of 207480 in words is "two hundred seven thousand, four hundred eighty".