417225672 has 24 divisors (see below), whose sum is σ = 1129986390. Its totient is φ = 139075200.

The previous prime is 417225667. The next prime is 417225673. The reversal of 417225672 is 276522714.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 416404836 + 820836 = 20406^2 + 906^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×417225672² = 348154522751703168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (417225673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2897329 + ... + 2897472.

Almost surely, 2^417225672 is an apocalyptic number.

It is an amenable number.

417225672 is an abundant number, since it is smaller than the sum of its proper divisors (712760718).

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

417225672 is a wasteful number, since it uses less digits than its factorization.

417225672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794813 (or 5794806 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 417225672 is about 20426.1027119713. The cubic root of 417225672 is about 747.2346590507.

The spelling of 417225672 in words is "four hundred seventeen million, two hundred twenty-five thousand, six hundred seventy-two".