430396516 has 81 divisors (see below), whose sum is σ = 887074489. Its totient is φ = 182564800.

The previous prime is 430396513. The next prime is 430396559. The reversal of 430396516 is 615693034.

The square root of 430396516 is 20746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 409657600 = 4554^2 + 20240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430396513) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10497456 + ... + 10497496.

Almost surely, 2^430396516 is an apocalyptic number.

430396516 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

430396516 is the 20746-th square number.

It is an amenable number.

430396516 is an abundant number, since it is smaller than the sum of its proper divisors (456677973).

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

430396516 is a wasteful number, since it uses less digits than its factorization.

430396516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The cubic root of 430396516 is about 755.0161632725.

The spelling of 430396516 in words is "four hundred thirty million, three hundred ninety-six thousand, five hundred sixteen".