245505040 has 80 divisors (see below), whose sum is σ = 625942080. Its totient is φ = 88808960.

The previous prime is 245505037. The next prime is 245505079. The reversal of 245505040 is 40505542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 245504996 and 245505014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199146 + ... + 200374.

It is an arithmetic number, because the mean of its divisors is an integer number (7824276).

Almost surely, 2^245505040 is an apocalyptic number.

245505040 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 245505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312971040).

245505040 is an abundant number, since it is smaller than the sum of its proper divisors (380437040).

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

245505040 is a wasteful number, since it uses less digits than its factorization.

245505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 245505040 is about 15668.6004480298. The cubic root of 245505040 is about 626.1621385550.

The spelling of 245505040 in words is "two hundred forty-five million, five hundred five thousand, forty".