1016334400 has 63 divisors (see below), whose sum is σ = 2503959559. Its totient is φ = 406023680.

The previous prime is 1016334383. The next prime is 1016334427. The reversal of 1016334400 is 44336101.

The square root of 1016334400 is 31880.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24840256 + 991494144 = 4984^2 + 31488^2 .

It is a super-2 number, since 2×1016334400² = 2065871225246720000, which contains 22 as substring.

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, 1274802 + ... + 1275598.

Almost surely, 2^1016334400 is an apocalyptic number.

1016334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016334400 is the 31880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016334400

1016334400 is an abundant number, since it is smaller than the sum of its proper divisors (1487625159).

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

1016334400 is an frugal number, since it uses more digits than its factorization.

1016334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 1016334400 is about 1005.4154202842.

The spelling of 1016334400 in words is "one billion, sixteen million, three hundred thirty-four thousand, four hundred".