430289916 has 96 divisors (see below), whose sum is σ = 1187816448. Its totient is φ = 118679040.

The previous prime is 430289869. The next prime is 430289917. The reversal of 430289916 is 619982034.

It is a super-2 number, since 2×430289916² = 370298823622574112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430289917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354126 + ... + 355338.

It is an arithmetic number, because the mean of its divisors is an integer number (12373088).

Almost surely, 2^430289916 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 430289916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593908224).

430289916 is an abundant number, since it is smaller than the sum of its proper divisors (757526532).

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

430289916 is a wasteful number, since it uses less digits than its factorization.

430289916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 430289916 is about 20743.4306709377. The cubic root of 430289916 is about 754.9538243473.

The spelling of 430289916 in words is "four hundred thirty million, two hundred eighty-nine thousand, nine hundred sixteen".