245765520 has 720 divisors, whose sum is σ = 1152592896. Its totient is φ = 45619200.

The previous prime is 245765497. The next prime is 245765537. The reversal of 245765520 is 25567542.

245765520 is a `hidden beast` number, since 24 + 57 + 65 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7927905 + ... + 7927935.

Almost surely, 2^245765520 is an apocalyptic number.

245765520 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 245765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576296448).

245765520 is an abundant number, since it is smaller than the sum of its proper divisors (906827376).

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

245765520 is a wasteful number, since it uses less digits than its factorization.

245765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 245765520 is about 15676.9104098990. The cubic root of 245765520 is about 626.3835122371.

The spelling of 245765520 in words is "two hundred forty-five million, seven hundred sixty-five thousand, five hundred twenty".