1016313480 has 448 divisors, whose sum is σ = 4230696960. Its totient is φ = 213871104.

The previous prime is 1016313469. The next prime is 1016313481. The reversal of 1016313480 is 843136101.

1016313480 is a `hidden beast` number, since 10 + 163 + 13 + 480 = 666.

1016313480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1016313481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653369 + ... + 2653751.

It is an arithmetic number, because the mean of its divisors is an integer number (9443520).

Almost surely, 2^1016313480 is an apocalyptic number.

1016313480 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 1016313480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115348480).

1016313480 is an abundant number, since it is smaller than the sum of its proper divisors (3214383480).

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

1016313480 is a wasteful number, since it uses less digits than its factorization.

1016313480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1016313480 is about 31879.6718929163. The cubic root of 1016313480 is about 1005.4085218215.

Adding to 1016313480 its reverse (843136101), we get a palindrome (1859449581).

It can be divided in two parts, 101631 and 3480, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1016313480 in words is "one billion, sixteen million, three hundred thirteen thousand, four hundred eighty".