1020794400 has 432 divisors, whose sum is σ = 3838816800. Its totient is φ = 264591360.

The previous prime is 1020794389. The next prime is 1020794413. The reversal of 1020794400 is 44970201.

It is a happy number.

1020794400 is a `hidden beast` number, since 10 + 207 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11469556 + ... + 11469644.

It is an arithmetic number, because the mean of its divisors is an integer number (8886150).

Almost surely, 2^1020794400 is an apocalyptic number.

1020794400 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 1020794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400).

1020794400 is an abundant number, since it is smaller than the sum of its proper divisors (2818022400).

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

1020794400 is an equidigital number, since it uses as much as digits as its factorization.

1020794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1020794400 is about 31949.8732391852. The cubic root of 1020794400 is about 1006.8839688974.

The spelling of 1020794400 in words is "one billion, twenty million, seven hundred ninety-four thousand, four hundred".