264073000 has 64 divisors (see below), whose sum is σ = 621504000. Its totient is φ = 105019200.

The previous prime is 264072997. The next prime is 264073003. The reversal of 264073000 is 370462.

It is an interprime number because it is at equal distance from previous prime (264072997) and next prime (264073003).

It is not an unprimeable number, because it can be changed into a prime (264073003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198337 + ... + 199663.

It is an arithmetic number, because the mean of its divisors is an integer number (9711000).

Almost surely, 2^264073000 is an apocalyptic number.

264073000 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 264073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310752000).

264073000 is an abundant number, since it is smaller than the sum of its proper divisors (357431000).

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

264073000 is a wasteful number, since it uses less digits than its factorization.

264073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 264073000 is about 16250.3230737115. The cubic root of 264073000 is about 641.5659893394.

The spelling of 264073000 in words is "two hundred sixty-four million, seventy-three thousand".