245242000 has 80 divisors (see below), whose sum is σ = 627964272. Its totient is φ = 92313600.

The previous prime is 245241973. The next prime is 245242013. The reversal of 245242000 is 242542.

It can be written as a sum of positive squares in 8 ways, for example, as 18558864 + 226683136 = 4308^2 + 15056^2 .

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

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, 30394 + ... + 37606.

Almost surely, 2^245242000 is an apocalyptic number.

245242000 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 245242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313982136).

245242000 is an abundant number, since it is smaller than the sum of its proper divisors (382722272).

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

245242000 is a wasteful number, since it uses less digits than its factorization.

245242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 245242000 is about 15660.2043409401. The cubic root of 245242000 is about 625.9384302526.

Adding to 245242000 its reverse (242542), we get a palindrome (245484542).

It can be divided in two parts, 245 and 242000, that multiplied together give a square (59290000 = 7700²).

The spelling of 245242000 in words is "two hundred forty-five million, two hundred forty-two thousand".