207132480 has 336 divisors, whose sum is σ = 770290560. Its totient is φ = 50958336.

The previous prime is 207132473. The next prime is 207132487. The reversal of 207132480 is 84231702.

It is an interprime number because it is at equal distance from previous prime (207132473) and next prime (207132487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207132487) 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 47 ways as a sum of consecutive naturals, for example, 3510691 + ... + 3510749.

Almost surely, 2^207132480 is an apocalyptic number.

207132480 is a gapful number since it is divisible by the number (20) 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 207132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385145280).

207132480 is an abundant number, since it is smaller than the sum of its proper divisors (563158080).

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

207132480 is a wasteful number, since it uses less digits than its factorization.

207132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 207132480 is about 14392.0978317964. The cubic root of 207132480 is about 591.6743400006.

The spelling of 207132480 in words is "two hundred seven million, one hundred thirty-two thousand, four hundred eighty".