245610500 has 48 divisors (see below), whose sum is σ = 549542448. Its totient is φ = 95840000.

The previous prime is 245610437. The next prime is 245610517. The reversal of 245610500 is 5016542.

245610500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 75203584 + 170406916 = 8672^2 + 13054^2 .

It is a congruent number.

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, 14510 + ... + 26490.

It is an arithmetic number, because the mean of its divisors is an integer number (11448801).

Almost surely, 2^245610500 is an apocalyptic number.

245610500 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 245610500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274771224).

245610500 is an abundant number, since it is smaller than the sum of its proper divisors (303931948).

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

245610500 is a wasteful number, since it uses less digits than its factorization.

245610500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 245610500 is about 15671.9654159904. The cubic root of 245610500 is about 626.2517845164.

The spelling of 245610500 in words is "two hundred forty-five million, six hundred ten thousand, five hundred".