265401600 has 216 divisors, whose sum is σ = 915483072. Its totient is φ = 67584000.

The previous prime is 265401599. The next prime is 265401601. The reversal of 265401600 is 6104562.

It is an interprime number because it is at equal distance from previous prime (265401599) and next prime (265401601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441300 + ... + 441900.

Almost surely, 2^265401600 is an apocalyptic number.

265401600 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 265401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457741536).

265401600 is an abundant number, since it is smaller than the sum of its proper divisors (650081472).

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

265401600 is a wasteful number, since it uses less digits than its factorization.

265401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 265401600 is about 16291.1509722303. The cubic root of 265401600 is about 642.6401355721.

The spelling of 265401600 in words is "two hundred sixty-five million, four hundred one thousand, six hundred".