564734000 has 160 divisors (see below), whose sum is σ = 1433158272. Its totient is φ = 215040000.

The previous prime is 564733969. The next prime is 564734011. The reversal of 564734000 is 437465.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5821952 + ... + 5822048.

Almost surely, 2^564734000 is an apocalyptic number.

564734000 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 564734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

564734000 is an abundant number, since it is smaller than the sum of its proper divisors (868424272).

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

564734000 is a wasteful number, since it uses less digits than its factorization.

564734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 564734000 is about 23764.1326372329. The cubic root of 564734000 is about 826.5731843071.

The spelling of 564734000 in words is "five hundred sixty-four million, seven hundred thirty-four thousand".