1071460800 has 252 divisors, whose sum is σ = 3913094536. Its totient is φ = 277862400.

The previous prime is 1071460783. The next prime is 1071460829. The reversal of 1071460800 is 80641701.

It is a happy number.

It is a super-2 number, since 2×1071460800² = 2296056491873280000, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 531795 + ... + 533805.

Almost surely, 2^1071460800 is an apocalyptic number.

1071460800 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 1071460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956547268).

1071460800 is an abundant number, since it is smaller than the sum of its proper divisors (2841633736).

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

1071460800 is a wasteful number, since it uses less digits than its factorization.

1071460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1071460800 is about 32733.1758312572. The cubic root of 1071460800 is about 1023.2743679191.

The spelling of 1071460800 in words is "one billion, seventy-one million, four hundred sixty thousand, eight hundred".