430978704 has 80 divisors (see below), whose sum is σ = 1203048000. Its totient is φ = 132162048.

The previous prime is 430978699. The next prime is 430978721. The reversal of 430978704 is 407879034.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216787 + ... + 218765.

It is an arithmetic number, because the mean of its divisors is an integer number (15038100).

Almost surely, 2^430978704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430978704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601524000).

430978704 is an abundant number, since it is smaller than the sum of its proper divisors (772069296).

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

430978704 is a wasteful number, since it uses less digits than its factorization.

430978704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 430978704 is about 20760.0265895783. The cubic root of 430978704 is about 755.3564412004.

The spelling of 430978704 in words is "four hundred thirty million, nine hundred seventy-eight thousand, seven hundred four".