406070112 has 96 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 114536448.

The previous prime is 406070101. The next prime is 406070131. The reversal of 406070112 is 211070604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 49264 + ... + 56912.

It is an arithmetic number, because the mean of its divisors is an integer number (12852000).

Almost surely, 2^406070112 is an apocalyptic number.

406070112 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 406070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

406070112 is an abundant number, since it is smaller than the sum of its proper divisors (827721888).

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

406070112 is a wasteful number, since it uses less digits than its factorization.

406070112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 406070112 is about 20151.1814045728. The cubic root of 406070112 is about 740.5146845540.

The spelling of 406070112 in words is "four hundred six million, seventy thousand, one hundred twelve".