1020320400 has 180 divisors, whose sum is σ = 3593079056. Its totient is φ = 247315200.

The previous prime is 1020320351. The next prime is 1020320419. The reversal of 1020320400 is 40230201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141687 + ... + 148713.

Almost surely, 2^1020320400 is an apocalyptic number.

1020320400 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 1020320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796539528).

1020320400 is an abundant number, since it is smaller than the sum of its proper divisors (2572758656).

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

1020320400 is a wasteful number, since it uses less digits than its factorization.

1020320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1020320400 is about 31942.4545080681. The cubic root of 1020320400 is about 1006.7280978451.

Adding to 1020320400 its reverse (40230201), we get a palindrome (1060550601).

It can be divided in two parts, 10203 and 20400, that added together give a palindrome (30603).

The spelling of 1020320400 in words is "one billion, twenty million, three hundred twenty thousand, four hundred".