414948864 has 160 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 122470400.

The previous prime is 414948851. The next prime is 414948881. The reversal of 414948864 is 468849414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 692437 + ... + 693035.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^414948864 is an apocalyptic number.

414948864 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 414948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

414948864 is an abundant number, since it is smaller than the sum of its proper divisors (822471936).

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

414948864 is a wasteful number, since it uses less digits than its factorization.

414948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 414948864 is about 20370.2936650408. The cubic root of 414948864 is about 745.8729547636.

The spelling of 414948864 in words is "four hundred fourteen million, nine hundred forty-eight thousand, eight hundred sixty-four".