245146500 has 120 divisors (see below), whose sum is σ = 799927128. Its totient is φ = 65361600.

The previous prime is 245146487. The next prime is 245146507. The reversal of 245146500 is 5641542.

245146500 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 4 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50041476 + 195105024 = 7074^2 + 13968^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (245146507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37474 + ... + 43526.

Almost surely, 2^245146500 is an apocalyptic number.

245146500 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 245146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399963564).

245146500 is an abundant number, since it is smaller than the sum of its proper divisors (554780628).

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

245146500 is a wasteful number, since it uses less digits than its factorization.

245146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 245146500 is about 15657.1549139682. The cubic root of 245146500 is about 625.8571705431.

The spelling of 245146500 in words is "two hundred forty-five million, one hundred forty-six thousand, five hundred".