414213040 has 80 divisors (see below), whose sum is σ = 988508160. Its totient is φ = 161360640.

The previous prime is 414213013. The next prime is 414213043. The reversal of 414213040 is 40312414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 414212999 and 414213017.

It is not an unprimeable number, because it can be changed into a prime (414213043) 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, 599095 + ... + 599785.

It is an arithmetic number, because the mean of its divisors is an integer number (12356352).

Almost surely, 2^414213040 is an apocalyptic number.

414213040 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 414213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494254080).

414213040 is an abundant number, since it is smaller than the sum of its proper divisors (574295120).

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

414213040 is a wasteful number, since it uses less digits than its factorization.

414213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

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

The square root of 414213040 is about 20352.2244484479. The cubic root of 414213040 is about 745.4318112873.

Adding to 414213040 its reverse (40312414), we get a palindrome (454525454).

The spelling of 414213040 in words is "four hundred fourteen million, two hundred thirteen thousand, forty".