245867328 has 252 divisors, whose sum is σ = 859629472. Its totient is φ = 65802240.

The previous prime is 245867291. The next prime is 245867341. The reversal of 245867328 is 823768542.

245867328 is a `hidden beast` number, since 245 + 86 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (645120) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1165143 + ... + 1165353.

Almost surely, 2^245867328 is an apocalyptic number.

245867328 is a gapful number since it is divisible by the number (28) 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 245867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429814736).

245867328 is an abundant number, since it is smaller than the sum of its proper divisors (613762144).

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

245867328 is a wasteful number, since it uses less digits than its factorization.

245867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 245867328 is about 15680.1571420697. The cubic root of 245867328 is about 626.4699931085.

The spelling of 245867328 in words is "two hundred forty-five million, eight hundred sixty-seven thousand, three hundred twenty-eight".