980450640 has 360 divisors, whose sum is σ = 3697653960. Its totient is φ = 231413760.

The previous prime is 980450633. The next prime is 980450659. The reversal of 980450640 is 46054089.

980450640 is a `hidden beast` number, since 9 + 8 + 0 + 4 + 5 + 0 + 640 = 666.

980450640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49956624 + 930494016 = 7068^2 + 30504^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×980450640² = 1922566914952819200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 980450595 and 980450604.

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, 8994906 + ... + 8995014.

It is an arithmetic number, because the mean of its divisors is an integer number (10271261).

Almost surely, 2^980450640 is an apocalyptic number.

980450640 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 980450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848826980).

980450640 is an abundant number, since it is smaller than the sum of its proper divisors (2717203320).

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

980450640 is a wasteful number, since it uses less digits than its factorization.

980450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 980450640 is about 31312.1484411402. The cubic root of 980450640 is about 993.4406152115.

The spelling of 980450640 in words is "nine hundred eighty million, four hundred fifty thousand, six hundred forty".