532400680 has 144 divisors (see below), whose sum is σ = 1436102460. Its totient is φ = 177085440.

The previous prime is 532400677. The next prime is 532400683. The reversal of 532400680 is 86004235.

It is an interprime number because it is at equal distance from previous prime (532400677) and next prime (532400683).

It can be written as a sum of positive squares in 6 ways, for example, as 11009124 + 521391556 = 3318^2 + 22834^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (532400683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7293124 + ... + 7293196.

Almost surely, 2^532400680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718051230).

532400680 is an abundant number, since it is smaller than the sum of its proper divisors (903701780).

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

532400680 is a wasteful number, since it uses less digits than its factorization.

532400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 532400680 is about 23073.8093950696. The cubic root of 532400680 is about 810.4872747615.

The spelling of 532400680 in words is "five hundred thirty-two million, four hundred thousand, six hundred eighty".