265064400 has 270 divisors, whose sum is σ = 964634502. Its totient is φ = 69984000.

The previous prime is 265064399. The next prime is 265064417. The reversal of 265064400 is 4460562.

It is a happy number.

265064400 is a `hidden beast` number, since 2 + 650 + 6 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 70963776 + 194100624 = 8424^2 + 13932^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×265064400² = 140518272294720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624350 + ... + 2624450.

Almost surely, 2^265064400 is an apocalyptic number.

265064400 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 265064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482317251).

265064400 is an abundant number, since it is smaller than the sum of its proper divisors (699570102).

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

265064400 is an equidigital number, since it uses as much as digits as its factorization.

265064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 265064400 is about 16280.7985062158. The cubic root of 265064400 is about 642.3678562638.

The spelling of 265064400 in words is "two hundred sixty-five million, sixty-four thousand, four hundred".