245578032 has 240 divisors, whose sum is σ = 841850880. Its totient is φ = 65318400.

The previous prime is 245578027. The next prime is 245578043. The reversal of 245578032 is 230875542.

245578032 is a `hidden beast` number, since 24 + 557 + 80 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 906057 + ... + 906327.

It is an arithmetic number, because the mean of its divisors is an integer number (3507712).

Almost surely, 2^245578032 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 245578032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420925440).

245578032 is an abundant number, since it is smaller than the sum of its proper divisors (596272848).

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

245578032 is a wasteful number, since it uses less digits than its factorization.

245578032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 245578032 is about 15670.9295193361. The cubic root of 245578032 is about 626.2241879234.

The spelling of 245578032 in words is "two hundred forty-five million, five hundred seventy-eight thousand, thirty-two".