1430024640 has 224 divisors, whose sum is σ = 4986040320. Its totient is φ = 344371200.

The previous prime is 1430024611. The next prime is 1430024653. The reversal of 1430024640 is 464200341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1430024640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016606 + ... + 2017314.

Almost surely, 2^1430024640 is an apocalyptic number.

1430024640 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 1430024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493020160).

1430024640 is an abundant number, since it is smaller than the sum of its proper divisors (3556015680).

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

1430024640 is a wasteful number, since it uses less digits than its factorization.

1430024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1430024640 is about 37815.6665946800. Note that the first 3 decimals coincide. The cubic root of 1430024640 is about 1126.6296421587.

Adding to 1430024640 its reverse (464200341), we get a palindrome (1894224981).

The spelling of 1430024640 in words is "one billion, four hundred thirty million, twenty-four thousand, six hundred forty".