1016460900 has 540 divisors, whose sum is σ = 4148711028. Its totient is φ = 213373440.

The previous prime is 1016460881. The next prime is 1016460931. The reversal of 1016460900 is 90646101.

1016460900 is a `hidden beast` number, since 10 + 1 + 646 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 1016206884 = 504^2 + 31878^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1016460900² = 2066385522457620000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5159602 + ... + 5159798.

Almost surely, 2^1016460900 is an apocalyptic number.

1016460900 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 1016460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074355514).

1016460900 is an abundant number, since it is smaller than the sum of its proper divisors (3132250128).

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

1016460900 is a wasteful number, since it uses less digits than its factorization.

1016460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1016460900 is about 31881.9839407776. The cubic root of 1016460900 is about 1005.4571322031.

The spelling of 1016460900 in words is "one billion, sixteen million, four hundred sixty thousand, nine hundred".