245271936 has 128 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 64677888.

The previous prime is 245271919. The next prime is 245271947. The reversal of 245271936 is 639172542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 245271894 and 245271903.

It is a congruent number.

It is an unprimeable number.

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, 31435 + ... + 38453.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^245271936 is an apocalyptic number.

245271936 is a gapful number since it is divisible by the number (26) 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 245271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

245271936 is an abundant number, since it is smaller than the sum of its proper divisors (556692864).

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

245271936 is a wasteful number, since it uses less digits than its factorization.

245271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7044 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 245271936 is about 15661.1601102856. The cubic root of 245271936 is about 625.9638980633.

The spelling of 245271936 in words is "two hundred forty-five million, two hundred seventy-one thousand, nine hundred thirty-six".