1061452800 has 396 divisors, whose sum is σ = 4038911136. Its totient is φ = 265420800.

The previous prime is 1061452771. The next prime is 1061452823. The reversal of 1061452800 is 82541601.

1061452800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061452800² = 2253364093255680000, 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3916665 + ... + 3916935.

Almost surely, 2^1061452800 is an apocalyptic number.

1061452800 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 1061452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019455568).

1061452800 is an abundant number, since it is smaller than the sum of its proper divisors (2977458336).

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

1061452800 is a wasteful number, since it uses less digits than its factorization.

1061452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1061452800 is about 32579.9447513344. The cubic root of 1061452800 is about 1020.0784253425.

The spelling of 1061452800 in words is "one billion, sixty-one million, four hundred fifty-two thousand, eight hundred".