245080080 has 240 divisors, whose sum is σ = 976020864. Its totient is φ = 55987200.

The previous prime is 245080067. The next prime is 245080081. The reversal of 245080080 is 80080542.

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

It is a super-2 number, since 2×245080080² = 120128491225612800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245080081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135180 + ... + 136980.

Almost surely, 2^245080080 is an apocalyptic number.

245080080 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 245080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488010432).

245080080 is an abundant number, since it is smaller than the sum of its proper divisors (730940784).

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

245080080 is a wasteful number, since it uses less digits than its factorization.

245080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 245080080 is about 15655.0336952688. The cubic root of 245080080 is about 625.8006421841.

It can be divided in two parts, 24 and 5080080, that multiplied together give a triangular number (121921920 = T₁₅₆₁₅).

The spelling of 245080080 in words is "two hundred forty-five million, eighty thousand, eighty".