1016451360 has 288 divisors, whose sum is σ = 3698472960. Its totient is φ = 253476864.

The previous prime is 1016451347. The next prime is 1016451389. The reversal of 1016451360 is 631546101.

1016451360 is a `hidden beast` number, since 1 + 0 + 1 + 645 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653729 + ... + 2654111.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^1016451360 is an apocalyptic number.

1016451360 is a gapful number since it is divisible by the number (10) 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 1016451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1016451360 is an abundant number, since it is smaller than the sum of its proper divisors (2682021600).

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

1016451360 is a wasteful number, since it uses less digits than its factorization.

1016451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1016451360 is about 31881.8343261488. The cubic root of 1016451360 is about 1005.4539866186.

Adding to 1016451360 its reverse (631546101), we get a palindrome (1647997461).

The spelling of 1016451360 in words is "one billion, sixteen million, four hundred fifty-one thousand, three hundred sixty".