532666400 has 144 divisors (see below), whose sum is σ = 1507653504. Its totient is φ = 179988480.

The previous prime is 532666367. The next prime is 532666439. The reversal of 532666400 is 4666235.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 408149 + ... + 409451.

It is an arithmetic number, because the mean of its divisors is an integer number (10469816).

Almost surely, 2^532666400 is an apocalyptic number.

532666400 is a gapful number since it is divisible by the number (50) 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 532666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753826752).

532666400 is an abundant number, since it is smaller than the sum of its proper divisors (974987104).

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

532666400 is a wasteful number, since it uses less digits than its factorization.

532666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 532666400 is about 23079.5667203698. The cubic root of 532666400 is about 810.6220898032.

The spelling of 532666400 in words is "five hundred thirty-two million, six hundred sixty-six thousand, four hundred".