414231040 has 160 divisors (see below), whose sum is σ = 1050039936. Its totient is φ = 156549120.

The previous prime is 414231019. The next prime is 414231043. The reversal of 414231040 is 40132414.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 414230999 and 414231017.

It is not an unprimeable number, because it can be changed into a prime (414231043) 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, 5834205 + ... + 5834275.

Almost surely, 2^414231040 is an apocalyptic number.

414231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525019968).

414231040 is an abundant number, since it is smaller than the sum of its proper divisors (635808896).

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

414231040 is an equidigital number, since it uses as much as digits as its factorization.

414231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414231040 is about 20352.6666557481. Note that the first 4 decimals coincide. The cubic root of 414231040 is about 745.4426089340.

Adding to 414231040 its reverse (40132414), we get a palindrome (454363454).

The spelling of 414231040 in words is "four hundred fourteen million, two hundred thirty-one thousand, forty".