406100992 has 88 divisors (see below), whose sum is σ = 914959872. Its totient is φ = 178483200.

The previous prime is 406100983. The next prime is 406101019. The reversal of 406100992 is 299001604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 348603 + ... + 349765.

Almost surely, 2^406100992 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 406100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457479936).

406100992 is an abundant number, since it is smaller than the sum of its proper divisors (508858880).

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

406100992 is a wasteful number, since it uses less digits than its factorization.

406100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 406100992 is about 20151.9475981851. The cubic root of 406100992 is about 740.5334551334.

The spelling of 406100992 in words is "four hundred six million, one hundred thousand, nine hundred ninety-two".