245874144 has 48 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 79313280.

The previous prime is 245874143. The next prime is 245874191. The reversal of 245874144 is 441478542.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×245874144³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245874143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38334 + ... + 44285.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160).

Almost surely, 2^245874144 is an apocalyptic number.

245874144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245874144 is an abundant number, since it is smaller than the sum of its proper divisors (420373536).

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

245874144 is a wasteful number, since it uses less digits than its factorization.

245874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82663 (or 82655 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 245874144 is about 15680.3744853240. The cubic root of 245874144 is about 626.4757821114.

The spelling of 245874144 in words is "two hundred forty-five million, eight hundred seventy-four thousand, one hundred forty-four".