245968632 has 288 divisors, whose sum is σ = 866436480. Its totient is φ = 62415360.

The previous prime is 245968621. The next prime is 245968669. The reversal of 245968632 is 236869542.

245968632 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 6 + 8 + 632 = 666.

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 (622080) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421698 + ... + 1421870.

It is an arithmetic number, because the mean of its divisors is an integer number (3008460).

Almost surely, 2^245968632 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 245968632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433218240).

245968632 is an abundant number, since it is smaller than the sum of its proper divisors (620467848).

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

245968632 is a wasteful number, since it uses less digits than its factorization.

245968632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 245968632 is about 15683.3871341621. The cubic root of 245968632 is about 626.5560221638.

The spelling of 245968632 in words is "two hundred forty-five million, nine hundred sixty-eight thousand, six hundred thirty-two".