264926400 has 168 divisors, whose sum is σ = 879683280. Its totient is φ = 69795840.

The previous prime is 264926399. The next prime is 264926407. The reversal of 264926400 is 4629462.

It is a happy number.

264926400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264926407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465316 + ... + 465884.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^264926400 is an apocalyptic number.

264926400 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 264926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439841640).

264926400 is an abundant number, since it is smaller than the sum of its proper divisors (614756880).

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

264926400 is a wasteful number, since it uses less digits than its factorization.

264926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 264926400 is about 16276.5598330851. The cubic root of 264926400 is about 642.2563586395.

The spelling of 264926400 in words is "two hundred sixty-four million, nine hundred twenty-six thousand, four hundred".