414057864 has 64 divisors (see below), whose sum is σ = 1139688000. Its totient is φ = 124312320.

The previous prime is 414057863. The next prime is 414057887. The reversal of 414057864 is 468750414.

It is not an unprimeable number, because it can be changed into a prime (414057863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21582 + ... + 35970.

It is an arithmetic number, because the mean of its divisors is an integer number (17807625).

Almost surely, 2^414057864 is an apocalyptic number.

414057864 is a gapful number since it is divisible by the number (44) 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 414057864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569844000).

414057864 is an abundant number, since it is smaller than the sum of its proper divisors (725630136).

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

414057864 is a wasteful number, since it uses less digits than its factorization.

414057864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14518 (or 14514 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 414057864 is about 20348.4118299193. The cubic root of 414057864 is about 745.3387129994.

The spelling of 414057864 in words is "four hundred fourteen million, fifty-seven thousand, eight hundred sixty-four".