245753640 has 192 divisors, whose sum is σ = 878342400. Its totient is φ = 59097600.

The previous prime is 245753639. The next prime is 245753687. The reversal of 245753640 is 46357542.

245753640 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 5 + 3 + 640 = 666.

245753640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 245753595 and 245753604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906705 + ... + 906975.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2^245753640 is an apocalyptic number.

245753640 is a gapful number since it is divisible by the number (20) 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 245753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

245753640 is an abundant number, since it is smaller than the sum of its proper divisors (632588760).

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

245753640 is a wasteful number, since it uses less digits than its factorization.

245753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 245753640 is about 15676.5315041306. The cubic root of 245753640 is about 626.3734192075.

The spelling of 245753640 in words is "two hundred forty-five million, seven hundred fifty-three thousand, six hundred forty".