265798400 has 216 divisors, whose sum is σ = 798386400. Its totient is φ = 85524480.

The previous prime is 265798381. The next prime is 265798409. The reversal of 265798400 is 4897562.

265798400 is digitally balanced in base 2, because in such base 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 (265798409) 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, 761426 + ... + 761774.

Almost surely, 2^265798400 is an apocalyptic number.

265798400 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 265798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399193200).

265798400 is an abundant number, since it is smaller than the sum of its proper divisors (532588000).

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

265798400 is a wasteful number, since it uses less digits than its factorization.

265798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 265798400 is about 16303.3248142825. The cubic root of 265798400 is about 642.9602449567.

The spelling of 265798400 in words is "two hundred sixty-five million, seven hundred ninety-eight thousand, four hundred".