1020400000 has 96 divisors (see below), whose sum is σ = 2541868560. Its totient is φ = 408000000.

The previous prime is 1020399983. The next prime is 1020400021. The reversal of 1020400000 is 40201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398725 + ... + 401275.

Almost surely, 2^1020400000 is an apocalyptic number.

1020400000 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 1020400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270934280).

1020400000 is an abundant number, since it is smaller than the sum of its proper divisors (1521468560).

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

1020400000 is an frugal number, since it uses more digits than its factorization.

1020400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1020400000 is about 31943.7004744284. The cubic root of 1020400000 is about 1006.7542770312.

Adding to 1020400000 its reverse (40201), we get a palindrome (1020440201).

The spelling of 1020400000 in words is "one billion, twenty million, four hundred thousand".