1009478480 has 20 divisors (see below), whose sum is σ = 2347037652. Its totient is φ = 403791360.

The previous prime is 1009478473. The next prime is 1009478489. The reversal of 1009478480 is 848749001.

It is a happy number.

1009478480 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 2 ways, for example, as 367565584 + 641912896 = 19172^2 + 25336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1009478480² = 2038093603166220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009478489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6309161 + ... + 6309320.

Almost surely, 2^1009478480 is an apocalyptic number.

1009478480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009478480 is an abundant number, since it is smaller than the sum of its proper divisors (1337559172).

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

1009478480 is a wasteful number, since it uses less digits than its factorization.

1009478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618494 (or 12618488 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 1009478480 is about 31772.2910725682. The cubic root of 1009478480 is about 1003.1495631709.

The spelling of 1009478480 in words is "one billion, nine million, four hundred seventy-eight thousand, four hundred eighty".