245088480 has 384 divisors, whose sum is σ = 986259456. Its totient is φ = 49766400.

The previous prime is 245088463. The next prime is 245088491. The reversal of 245088480 is 84880542.

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

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 63 ways as a sum of consecutive naturals, for example, 1353990 + ... + 1354170.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^245088480 is an apocalyptic number.

245088480 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 245088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

245088480 is an abundant number, since it is smaller than the sum of its proper divisors (741170976).

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

245088480 is a wasteful number, since it uses less digits than its factorization.

245088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 245088480 is about 15655.3019772855. The cubic root of 245088480 is about 625.8077917728.

The spelling of 245088480 in words is "two hundred forty-five million, eighty-eight thousand, four hundred eighty".