1017656480 has 48 divisors (see below), whose sum is σ = 2427594624. Its totient is φ = 403104000.

The previous prime is 1017656407. The next prime is 1017656491. The reversal of 1017656480 is 846567101.

It is a super-3 number, since 3×1017656480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14396 + ... + 47355.

It is an arithmetic number, because the mean of its divisors is an integer number (50574888).

Almost surely, 2^1017656480 is an apocalyptic number.

1017656480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017656480 is an abundant number, since it is smaller than the sum of its proper divisors (1409938144).

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

1017656480 is a wasteful number, since it uses less digits than its factorization.

1017656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61869 (or 61861 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1017656480 is about 31900.7285183270. The cubic root of 1017656480 is about 1005.8511901328.

The spelling of 1017656480 in words is "one billion, seventeen million, six hundred fifty-six thousand, four hundred eighty".