1030402800 has 360 divisors, whose sum is σ = 4221634560. Its totient is φ = 227750400.

The previous prime is 1030402757. The next prime is 1030402823. The reversal of 1030402800 is 82040301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 780541 + ... + 781859.

Almost surely, 2^1030402800 is an apocalyptic number.

1030402800 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 1030402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110817280).

1030402800 is an abundant number, since it is smaller than the sum of its proper divisors (3191231760).

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

1030402800 is a wasteful number, since it uses less digits than its factorization.

1030402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1030402800 is about 32099.8878502714. The cubic root of 1030402800 is about 1010.0332636171.

The spelling of 1030402800 in words is "one billion, thirty million, four hundred two thousand, eight hundred".