414281672 has 48 divisors (see below), whose sum is σ = 907055820. Its totient is φ = 176870400.

The previous prime is 414281633. The next prime is 414281701. The reversal of 414281672 is 276182414.

It can be written as a sum of positive squares in 2 ways, for example, as 412658596 + 1623076 = 20314^2 + 1274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108272 + ... + 112032.

Almost surely, 2^414281672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414281672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453527910).

414281672 is an abundant number, since it is smaller than the sum of its proper divisors (492774148).

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

414281672 is a wasteful number, since it uses less digits than its factorization.

414281672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4051 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 414281672 is about 20353.9104842288. The cubic root of 414281672 is about 745.4729798372.

The spelling of 414281672 in words is "four hundred fourteen million, two hundred eighty-one thousand, six hundred seventy-two".