980254080 has 576 divisors, whose sum is σ = 3931059600. Its totient is φ = 224280576.

The previous prime is 980254057. The next prime is 980254097. The reversal of 980254080 is 80452089.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×980254080² = 1921796122713292800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18495334 + ... + 18495386.

Almost surely, 2^980254080 is an apocalyptic number.

980254080 is a gapful number since it is divisible by the number (90) 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 980254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965529800).

980254080 is an abundant number, since it is smaller than the sum of its proper divisors (2950805520).

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

980254080 is a wasteful number, since it uses less digits than its factorization.

980254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 980254080 is about 31309.0095659380. The cubic root of 980254080 is about 993.3742227011.

The spelling of 980254080 in words is "nine hundred eighty million, two hundred fifty-four thousand, eighty".