264969600 has 192 divisors, whose sum is σ = 997674240. Its totient is φ = 60549120.

The previous prime is 264969589. The next prime is 264969629. The reversal of 264969600 is 6969462.

264969600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 65229 + ... + 69171.

It is an arithmetic number, because the mean of its divisors is an integer number (5196220).

Almost surely, 2^264969600 is an apocalyptic number.

264969600 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 264969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498837120).

264969600 is an abundant number, since it is smaller than the sum of its proper divisors (732704640).

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

264969600 is a wasteful number, since it uses less digits than its factorization.

264969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 264969600 is about 16277.8868407420. The cubic root of 264969600 is about 642.2912664060.

The spelling of 264969600 in words is "two hundred sixty-four million, nine hundred sixty-nine thousand, six hundred".