1011430400 has 66 divisors (see below), whose sum is σ = 2507186070. Its totient is φ = 404561920.

The previous prime is 1011430379. The next prime is 1011430471. The reversal of 1011430400 is 40341101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9834496 + 1001595904 = 3136^2 + 31648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5846 + ... + 45354.

Almost surely, 2^1011430400 is an apocalyptic number.

1011430400 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 1011430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253593035).

1011430400 is an abundant number, since it is smaller than the sum of its proper divisors (1495755670).

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

1011430400 is an equidigital number, since it uses as much as digits as its factorization.

1011430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39539 (or 39516 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1011430400 is about 31802.9935697884. The cubic root of 1011430400 is about 1003.7957077076.

Adding to 1011430400 its reverse (40341101), we get a palindrome (1051771501).

The spelling of 1011430400 in words is "one billion, eleven million, four hundred thirty thousand, four hundred".