417270672 has 180 divisors, whose sum is σ = 1463252700. Its totient is φ = 110025216.

The previous prime is 417270671. The next prime is 417270677. The reversal of 417270672 is 276072714.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 238887936 = 13356^2 + 15456^2 .

It is a super-2 number, since 2×417270672² = 348229627422663168, 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 (417270671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89454 + ... + 94002.

Almost surely, 2^417270672 is an apocalyptic number.

417270672 is a gapful number since it is divisible by the number (42) 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 417270672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731626350).

417270672 is an abundant number, since it is smaller than the sum of its proper divisors (1045982028).

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

417270672 is a wasteful number, since it uses less digits than its factorization.

417270672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 417270672 is about 20427.2042139888. The cubic root of 417270672 is about 747.2615224911.

The spelling of 417270672 in words is "four hundred seventeen million, two hundred seventy thousand, six hundred seventy-two".