414232464 has 40 divisors (see below), whose sum is σ = 1099026880. Its totient is φ = 134345088.

The previous prime is 414232463. The next prime is 414232529. The reversal of 414232464 is 464232414.

It is a super-2 number, since 2×414232464² = 343177068463022592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414232463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114844 + ... + 118395.

It is an arithmetic number, because the mean of its divisors is an integer number (27475672).

Almost surely, 2^414232464 is an apocalyptic number.

It is an amenable number.

414232464 is an abundant number, since it is smaller than the sum of its proper divisors (684794416).

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

414232464 is a wasteful number, since it uses less digits than its factorization.

414232464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233287 (or 233281 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 414232464 is about 20352.7016388488. The cubic root of 414232464 is about 745.4434631345.

Adding to 414232464 its reverse (464232414), we get a palindrome (878464878).

The spelling of 414232464 in words is "four hundred fourteen million, two hundred thirty-two thousand, four hundred sixty-four".