430978968 has 320 divisors, whose sum is σ = 1530524160. Its totient is φ = 110854656.

The previous prime is 430978967. The next prime is 430979023. The reversal of 430978968 is 869879034.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430978967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18738205 + ... + 18738227.

It is an arithmetic number, because the mean of its divisors is an integer number (4782888).

Almost surely, 2^430978968 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 430978968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765262080).

430978968 is an abundant number, since it is smaller than the sum of its proper divisors (1099545192).

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

430978968 is an equidigital number, since it uses as much as digits as its factorization.

430978968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 430978968 is about 20760.0329479507. The cubic root of 430978968 is about 755.3565954339.

The spelling of 430978968 in words is "four hundred thirty million, nine hundred seventy-eight thousand, nine hundred sixty-eight".