262128400 has 120 divisors (see below), whose sum is σ = 655386624. Its totient is φ = 100684800.

The previous prime is 262128371. The next prime is 262128403. The reversal of 262128400 is 4821262.

It is a happy number.

It is a super-2 number, since 2×262128400² = 137422596173120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (262128403) 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, 1372305 + ... + 1372495.

Almost surely, 2^262128400 is an apocalyptic number.

262128400 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 262128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327693312).

262128400 is an abundant number, since it is smaller than the sum of its proper divisors (393258224).

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

262128400 is a wasteful number, since it uses less digits than its factorization.

262128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 262128400 is about 16190.3798596574. The cubic root of 262128400 is about 639.9873044357.

Adding to 262128400 its reverse (4821262), we get a palindrome (266949662).

The spelling of 262128400 in words is "two hundred sixty-two million, one hundred twenty-eight thousand, four hundred".