431106640 has 20 divisors (see below), whose sum is σ = 1002323124. Its totient is φ = 172442624.

The previous prime is 431106631. The next prime is 431106649. The reversal of 431106640 is 46601134.

It is an interprime number because it is at equal distance from previous prime (431106631) and next prime (431106649).

It can be written as a sum of positive squares in 2 ways, for example, as 189117504 + 241989136 = 13752^2 + 15556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×431106640³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431106649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2694337 + ... + 2694496.

Almost surely, 2^431106640 is an apocalyptic number.

431106640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431106640 is an abundant number, since it is smaller than the sum of its proper divisors (571216484).

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

431106640 is a wasteful number, since it uses less digits than its factorization.

431106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388846 (or 5388840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 431106640 is about 20763.1076672063. The cubic root of 431106640 is about 755.4311763092.

Adding to 431106640 its reverse (46601134), we get a palindrome (477707774).

The spelling of 431106640 in words is "four hundred thirty-one million, one hundred six thousand, six hundred forty".