245742000 has 160 divisors (see below), whose sum is σ = 905608704. Its totient is φ = 56160000.

The previous prime is 245741957. The next prime is 245742019. The reversal of 245742000 is 247542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39075 + ... + 44925.

Almost surely, 2^245742000 is an apocalyptic number.

245742000 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 245742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452804352).

245742000 is an abundant number, since it is smaller than the sum of its proper divisors (659866704).

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

245742000 is a wasteful number, since it uses less digits than its factorization.

245742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 245742000 is about 15676.1602441414. The cubic root of 245742000 is about 626.3635297619.

Adding to 245742000 its reverse (247542), we get a palindrome (245989542).

The spelling of 245742000 in words is "two hundred forty-five million, seven hundred forty-two thousand".