1430345840 has 320 divisors, whose sum is σ = 4444001280. Its totient is φ = 418176000.

The previous prime is 1430345809. The next prime is 1430345843. The reversal of 1430345840 is 485430341.

It is a junction number, because it is equal to n+sod(n) for n = 1430345797 and 1430345806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430345843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14161790 + ... + 14161890.

It is an arithmetic number, because the mean of its divisors is an integer number (13887504).

Almost surely, 2^1430345840 is an apocalyptic number.

1430345840 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 1430345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222000640).

1430345840 is an abundant number, since it is smaller than the sum of its proper divisors (3013655440).

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

1430345840 is a wasteful number, since it uses less digits than its factorization.

1430345840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1430345840 is about 37819.9132733009. The cubic root of 1430345840 is about 1126.7139871741.

The spelling of 1430345840 in words is "one billion, four hundred thirty million, three hundred forty-five thousand, eight hundred forty".