245428480 has 72 divisors (see below), whose sum is σ = 641358144. Its totient is φ = 89241600.

The previous prime is 245428471. The next prime is 245428481. The reversal of 245428480 is 84824542.

245428480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245428480² = 120470277590220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245428481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5365 + ... + 22795.

It is an arithmetic number, because the mean of its divisors is an integer number (8907752).

Almost surely, 2^245428480 is an apocalyptic number.

245428480 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 245428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320679072).

245428480 is an abundant number, since it is smaller than the sum of its proper divisors (395929664).

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

245428480 is a wasteful number, since it uses less digits than its factorization.

245428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17463 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 245428480 is about 15666.1571548354. The cubic root of 245428480 is about 626.0970428685.

The spelling of 245428480 in words is "two hundred forty-five million, four hundred twenty-eight thousand, four hundred eighty".