532960000 has 90 divisors (see below), whose sum is σ = 1329771212. Its totient is φ = 213120000.

The previous prime is 532959983. The next prime is 532960019. The reversal of 532960000 is 69235.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 158335 + ... + 161665.

Almost surely, 2^532960000 is an apocalyptic number.

532960000 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 532960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664885606).

532960000 is an abundant number, since it is smaller than the sum of its proper divisors (796811212).

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

532960000 is an frugal number, since it uses more digits than its factorization.

532960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 532960000 is about 23085.9264488129. The cubic root of 532960000 is about 810.7709978449.

The spelling of 532960000 in words is "five hundred thirty-two million, nine hundred sixty thousand".