1430838864 has 320 divisors, whose sum is σ = 5354657280. Its totient is φ = 355000320.

The previous prime is 1430838841. The next prime is 1430838887. The reversal of 1430838864 is 4688380341.

1430838864 is a `hidden beast` number, since 1 + 430 + 83 + 88 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1430838841) and next prime (1430838887).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667234 + ... + 669374.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 2^1430838864 is an apocalyptic number.

1430838864 is a gapful number since it is divisible by the number (14) 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 1430838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677328640).

1430838864 is an abundant number, since it is smaller than the sum of its proper divisors (3923818416).

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

1430838864 is a wasteful number, since it uses less digits than its factorization.

1430838864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1430838864 is about 37826.4307594571. The cubic root of 1430838864 is about 1126.8434274836.

The spelling of 1430838864 in words is "one billion, four hundred thirty million, eight hundred thirty-eight thousand, eight hundred sixty-four".