264140800 has 288 divisors, whose sum is σ = 828696960. Its totient is φ = 81100800.

The previous prime is 264140783. The next prime is 264140837. The reversal of 264140800 is 8041462.

264140800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942367 + ... + 3942433.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^264140800 is an apocalyptic number.

264140800 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 264140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

264140800 is an abundant number, since it is smaller than the sum of its proper divisors (564556160).

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

264140800 is a wasteful number, since it uses less digits than its factorization.

264140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 264140800 is about 16252.4090521990. The cubic root of 264140800 is about 641.6208913955.

The spelling of 264140800 in words is "two hundred sixty-four million, one hundred forty thousand, eight hundred".