411627672 has 96 divisors (see below), whose sum is σ = 1157345280. Its totient is φ = 132027840.

The previous prime is 411627637. The next prime is 411627707. The reversal of 411627672 is 276726114.

It is an interprime number because it is at equal distance from previous prime (411627637) and next prime (411627707).

It is a super-2 number, since 2×411627672² = 338874680712279168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497323 + ... + 498149.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^411627672 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 411627672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

411627672 is an abundant number, since it is smaller than the sum of its proper divisors (745717608).

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

411627672 is a wasteful number, since it uses less digits than its factorization.

411627672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 411627672 is about 20288.6094151374. The cubic root of 411627672 is about 743.8776680588.

The spelling of 411627672 in words is "four hundred eleven million, six hundred twenty-seven thousand, six hundred seventy-two".