264084400 has 60 divisors (see below), whose sum is σ = 636443392. Its totient is φ = 105304320.

The previous prime is 264084391. The next prime is 264084407. The reversal of 264084400 is 4480462.

It is not an unprimeable number, because it can be changed into a prime (264084407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157969 + ... + 159631.

Almost surely, 2^264084400 is an apocalyptic number.

264084400 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 264084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318221696).

264084400 is an abundant number, since it is smaller than the sum of its proper divisors (372358992).

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

264084400 is a wasteful number, since it uses less digits than its factorization.

264084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 264084400 is about 16250.6738321831. The cubic root of 264084400 is about 641.5752213157.

The spelling of 264084400 in words is "two hundred sixty-four million, eighty-four thousand, four hundred".