430545136 has 80 divisors (see below), whose sum is σ = 1000650240. Its totient is φ = 175553280.

The previous prime is 430545131. The next prime is 430545139. The reversal of 430545136 is 631545034.

It is a super-2 number, since 2×430545136² = 370738228266516992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430545098 and 430545107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430545131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229675 + ... + 231541.

It is an arithmetic number, because the mean of its divisors is an integer number (12508128).

Almost surely, 2^430545136 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 430545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500325120).

430545136 is an abundant number, since it is smaller than the sum of its proper divisors (570105104).

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

430545136 is a wasteful number, since it uses less digits than its factorization.

430545136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 430545136 is about 20749.5815861429. The cubic root of 430545136 is about 755.1030580194.

The spelling of 430545136 in words is "four hundred thirty million, five hundred forty-five thousand, one hundred thirty-six".