431464 has 16 divisors (see below), whose sum is σ = 882720. Its totient is φ = 196080.

The previous prime is 431449. The next prime is 431479. The reversal of 431464 is 464134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431449) and next prime (431479).

It is a super-2 number, since 2×431464² = 372322366592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2364 + ... + 2539.

It is an arithmetic number, because the mean of its divisors is an integer number (55170).

2⁴³¹⁴⁶⁴ is an apocalyptic number.

431464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431464 is an abundant number, since it is smaller than the sum of its proper divisors (451256).

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

431464 is a wasteful number, since it uses less digits than its factorization.

431464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4916 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 431464 is about 656.8591934349. The cubic root of 431464 is about 75.5639853468.

Adding to 431464 its reverse (464134), we get a palindrome (895598).

The spelling of 431464 in words is "four hundred thirty-one thousand, four hundred sixty-four".