325510400 has 108 divisors (see below), whose sum is σ = 813023484. Its totient is φ = 129024000.

The previous prime is 325510397. The next prime is 325510403. The reversal of 325510400 is 4015523.

It is an interprime number because it is at equal distance from previous prime (325510397) and next prime (325510403).

It can be written as a sum of positive squares in 6 ways, for example, as 47554816 + 277955584 = 6896^2 + 16672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325510403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1158260 + ... + 1158540.

Almost surely, 2^325510400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406511742).

325510400 is an abundant number, since it is smaller than the sum of its proper divisors (487513084).

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

325510400 is a wasteful number, since it uses less digits than its factorization.

325510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 325510400 is about 18041.9067728442. The cubic root of 325510400 is about 687.8941607516.

Adding to 325510400 its reverse (4015523), we get a palindrome (329525923).

The spelling of 325510400 in words is "three hundred twenty-five million, five hundred ten thousand, four hundred".