245526480 has 120 divisors (see below), whose sum is σ = 832527072. Its totient is φ = 64841472.

The previous prime is 245526451. The next prime is 245526481. The reversal of 245526480 is 84625542.

It is a happy number.

245526480 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245526481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75447 + ... + 78633.

Almost surely, 2^245526480 is an apocalyptic number.

245526480 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 245526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416263536).

245526480 is an abundant number, since it is smaller than the sum of its proper divisors (587000592).

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

245526480 is a wasteful number, since it uses less digits than its factorization.

245526480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 245526480 is about 15669.2846039633. The cubic root of 245526480 is about 626.1803656424.

The spelling of 245526480 in words is "two hundred forty-five million, five hundred twenty-six thousand, four hundred eighty".