245925504 has 128 divisors (see below), whose sum is σ = 791928000. Its totient is φ = 74511360.

The previous prime is 245925497. The next prime is 245925517. The reversal of 245925504 is 405529542.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34782 + ... + 41250.

Almost surely, 2^245925504 is an apocalyptic number.

245925504 is a gapful number since it is divisible by the number (24) 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 245925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395964000).

245925504 is an abundant number, since it is smaller than the sum of its proper divisors (546002496).

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

245925504 is a wasteful number, since it uses less digits than its factorization.

245925504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 245925504 is about 15682.0121157969. The cubic root of 245925504 is about 626.5194000311.

The spelling of 245925504 in words is "two hundred forty-five million, nine hundred twenty-five thousand, five hundred four".