325886880 has 288 divisors, whose sum is σ = 1171183104. Its totient is φ = 76032000.

The previous prime is 325886857. The next prime is 325886909. The reversal of 325886880 is 88688523.

It is a super-2 number, since 2×325886880² = 212404517112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1800390 + ... + 1800570.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2^325886880 is an apocalyptic number.

325886880 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 325886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

325886880 is an abundant number, since it is smaller than the sum of its proper divisors (845296224).

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

325886880 is a wasteful number, since it uses less digits than its factorization.

325886880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 325886880 is about 18052.3372448002. The cubic root of 325886880 is about 688.1592609494.

The spelling of 325886880 in words is "three hundred twenty-five million, eight hundred eighty-six thousand, eight hundred eighty".