245921520 has 240 divisors, whose sum is σ = 864007200. Its totient is φ = 57513984.

The previous prime is 245921491. The next prime is 245921527. The reversal of 245921520 is 25129542.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×245921520² = 120954787998220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245921527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650406 + ... + 1650554.

It is an arithmetic number, because the mean of its divisors is an integer number (3600030).

Almost surely, 2^245921520 is an apocalyptic number.

245921520 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 245921520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432003600).

245921520 is an abundant number, since it is smaller than the sum of its proper divisors (618085680).

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

245921520 is a wasteful number, since it uses less digits than its factorization.

245921520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 245921520 is about 15681.8850907664. The cubic root of 245921520 is about 626.5160168023.

The spelling of 245921520 in words is "two hundred forty-five million, nine hundred twenty-one thousand, five hundred twenty".