414213720 has 32 divisors (see below), whose sum is σ = 1242641520. Its totient is φ = 110456960.

The previous prime is 414213713. The next prime is 414213733. The reversal of 414213720 is 27312414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725771 + ... + 1726010.

Almost surely, 2^414213720 is an apocalyptic number.

414213720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414213720 is an abundant number, since it is smaller than the sum of its proper divisors (828427800).

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

414213720 is a wasteful number, since it uses less digits than its factorization.

414213720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451795 (or 3451791 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 414213720 is about 20352.2411542316. The cubic root of 414213720 is about 745.4322192041.

The spelling of 414213720 in words is "four hundred fourteen million, two hundred thirteen thousand, seven hundred twenty".