1020534400 has 48 divisors (see below), whose sum is σ = 2521046790. Its totient is φ = 408212480.

The previous prime is 1020534397. The next prime is 1020534443. The reversal of 1020534400 is 44350201.

It can be written as a sum of positive squares in 3 ways, for example, as 554319936 + 466214464 = 23544^2 + 21592^2 .

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 5 ways as a sum of consecutive naturals, for example, 156259 + ... + 162658.

Almost surely, 2^1020534400 is an apocalyptic number.

1020534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020534400 is an abundant number, since it is smaller than the sum of its proper divisors (1500512390).

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

1020534400 is an equidigital number, since it uses as much as digits as its factorization.

1020534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318941 (or 318924 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1020534400 is about 31945.8041063298. The cubic root of 1020534400 is about 1006.7984759841.

Adding to 1020534400 its reverse (44350201), we get a palindrome (1064884601).

The spelling of 1020534400 in words is "one billion, twenty million, five hundred thirty-four thousand, four hundred".