1020230400 has 216 divisors, whose sum is σ = 3848475904. Its totient is φ = 233164800.

The previous prime is 1020230399. The next prime is 1020230417. The reversal of 1020230400 is 40320201.

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 23 ways as a sum of consecutive naturals, for example, 130605 + ... + 138195.

Almost surely, 2^1020230400 is an apocalyptic number.

1020230400 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 1020230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924237952).

1020230400 is an abundant number, since it is smaller than the sum of its proper divisors (2828245504).

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

1020230400 is an equidigital number, since it uses as much as digits as its factorization.

1020230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7608 counting only the distinct ones).

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

The square root of 1020230400 is about 31941.0456935899. The cubic root of 1020230400 is about 1006.6984966228.

Adding to 1020230400 its reverse (40320201), we get a palindrome (1060550601).

The spelling of 1020230400 in words is "one billion, twenty million, two hundred thirty thousand, four hundred".