1020596400 has 360 divisors, whose sum is σ = 3825856320. Its totient is φ = 251112960.

The previous prime is 1020596393. The next prime is 1020596407. The reversal of 1020596400 is 46950201.

1020596400 is a `hidden beast` number, since 10 + 2 + 0 + 5 + 9 + 640 + 0 = 666.

1020596400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020596393) and next prime (1020596407).

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

It is not an unprimeable number, because it can be changed into a prime (1020596407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2941027 + ... + 2941373.

Almost surely, 2^1020596400 is an apocalyptic number.

1020596400 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 1020596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912928160).

1020596400 is an abundant number, since it is smaller than the sum of its proper divisors (2805259920).

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

1020596400 is a wasteful number, since it uses less digits than its factorization.

1020596400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1020596400 is about 31946.7744850713. The cubic root of 1020596400 is about 1006.8188640740.

The spelling of 1020596400 in words is "one billion, twenty million, five hundred ninety-six thousand, four hundred".