325743600 has 480 divisors, whose sum is σ = 1360468480. Its totient is φ = 64696320.

The previous prime is 325743571. The next prime is 325743611. The reversal of 325743600 is 6347523.

It is a super-2 number, since 2×325743600² = 212217785881920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074722 + ... + 2074878.

Almost surely, 2^325743600 is an apocalyptic number.

325743600 is a gapful number since it is divisible by the number (30) 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 325743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680234240).

325743600 is an abundant number, since it is smaller than the sum of its proper divisors (1034724880).

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

325743600 is a wasteful number, since it uses less digits than its factorization.

325743600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 325743600 is about 18048.3683473050. The cubic root of 325743600 is about 688.0583937277.

The spelling of 325743600 in words is "three hundred twenty-five million, seven hundred forty-three thousand, six hundred".