406126672 has 80 divisors (see below), whose sum is σ = 979401600. Its totient is φ = 159183360.

The previous prime is 406126661. The next prime is 406126687. The reversal of 406126672 is 276621604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58422 + ... + 65002.

It is an arithmetic number, because the mean of its divisors is an integer number (12242520).

Almost surely, 2^406126672 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 406126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489700800).

406126672 is an abundant number, since it is smaller than the sum of its proper divisors (573274928).

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

406126672 is a wasteful number, since it uses less digits than its factorization.

406126672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 406126672 is about 20152.5847473717. The cubic root of 406126672 is about 740.5490641392.

The spelling of 406126672 in words is "four hundred six million, one hundred twenty-six thousand, six hundred seventy-two".