400506112 has 72 divisors (see below), whose sum is σ = 834606080. Its totient is φ = 191600640.

The previous prime is 400506109. The next prime is 400506133. The reversal of 400506112 is 211605004.

It is a self number, because there is not a number n which added to its sum of digits gives 400506112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864793 + ... + 865255.

Almost surely, 2^400506112 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 400506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417303040).

400506112 is an abundant number, since it is smaller than the sum of its proper divisors (434099968).

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

400506112 is a wasteful number, since it uses less digits than its factorization.

400506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 400506112 is about 20012.6488001963. The cubic root of 400506112 is about 737.1169241809.

The spelling of 400506112 in words is "four hundred million, five hundred six thousand, one hundred twelve".