414265968 has 160 divisors (see below), whose sum is σ = 1283251200. Its totient is φ = 127526400.

The previous prime is 414265931. The next prime is 414265991. The reversal of 414265968 is 869562414.

Its product of digits (414720) is a multiple of the sum of its prime divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335913 + ... + 337143.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2^414265968 is an apocalyptic number.

414265968 is a gapful number since it is divisible by the number (48) 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 414265968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641625600).

414265968 is an abundant number, since it is smaller than the sum of its proper divisors (868985232).

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

414265968 is a wasteful number, since it uses less digits than its factorization.

414265968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 414265968 is about 20353.5247070378. The cubic root of 414265968 is about 745.4635602753.

The spelling of 414265968 in words is "four hundred fourteen million, two hundred sixty-five thousand, nine hundred sixty-eight".