1016589456 has 45 divisors (see below), whose sum is σ = 2846109721. Its totient is φ = 338735616.

The previous prime is 1016589439. The next prime is 1016589491. The reversal of 1016589456 is 6549856101.

The square root of 1016589456 is 31884.

It is a perfect power (a square), and thus also a powerful number.

1016589456 is a `hidden beast` number, since 1 + 0 + 16 + 589 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 662547600 + 354041856 = 25740^2 + 18816^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 381280 + ... + 383936.

Almost surely, 2^1016589456 is an apocalyptic number.

1016589456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1016589456 is the 31884-th square number.

It is an amenable number.

1016589456 is an abundant number, since it is smaller than the sum of its proper divisors (1829520265).

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

1016589456 is an frugal number, since it uses more digits than its factorization.

1016589456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 1016589456 is about 1005.4995185190.

The spelling of 1016589456 in words is "one billion, sixteen million, five hundred eighty-nine thousand, four hundred fifty-six".