245142464 has 112 divisors (see below), whose sum is σ = 596725248. Its totient is φ = 97625088.

The previous prime is 245142461. The next prime is 245142493. The reversal of 245142464 is 464241542.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 245142464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245142461) 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 15 ways as a sum of consecutive naturals, for example, 380927 + ... + 381569.

It is an arithmetic number, because the mean of its divisors is an integer number (5327904).

Almost surely, 2^245142464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298362624).

245142464 is an abundant number, since it is smaller than the sum of its proper divisors (351582784).

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

245142464 is a wasteful number, since it uses less digits than its factorization.

245142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 245142464 is about 15657.0260266757. The cubic root of 245142464 is about 625.8537358984.

The spelling of 245142464 in words is "two hundred forty-five million, one hundred forty-two thousand, four hundred sixty-four".