431314002 has 48 divisors (see below), whose sum is σ = 1069174080. Its totient is φ = 123098976.

The previous prime is 431314001. The next prime is 431314019. The reversal of 431314002 is 200413134.

It is a super-3 number, since 3×431314002³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (431314001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214333 + ... + 216335.

It is an arithmetic number, because the mean of its divisors is an integer number (22274460).

Almost surely, 2^431314002 is an apocalyptic number.

431314002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

431314002 is an abundant number, since it is smaller than the sum of its proper divisors (637860078).

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

431314002 is a wasteful number, since it uses less digits than its factorization.

431314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431314002 is about 20768.1005871986. The cubic root of 431314002 is about 755.5522775217.

Adding to 431314002 its reverse (200413134), we get a palindrome (631727136).

The spelling of 431314002 in words is "four hundred thirty-one million, three hundred fourteen thousand, two".