325140480 has 450 divisors, whose sum is σ = 1355963994. Its totient is φ = 74317824.

The previous prime is 325140479. The next prime is 325140539. The reversal of 325140480 is 84041523.

325140480 is a `hidden beast` number, since 3 + 251 + 404 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 65028096 = 16128^2 + 8064^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46448637 + ... + 46448643.

Almost surely, 2^325140480 is an apocalyptic number.

325140480 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 325140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677981997).

325140480 is an abundant number, since it is smaller than the sum of its proper divisors (1030823514).

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

325140480 is an frugal number, since it uses more digits than its factorization.

325140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 325140480 is about 18031.6521705583. The cubic root of 325140480 is about 687.6334806390.

The spelling of 325140480 in words is "three hundred twenty-five million, one hundred forty thousand, four hundred eighty".