406778112 has 216 divisors, whose sum is σ = 1312444224. Its totient is φ = 124913664.

The previous prime is 406778093. The next prime is 406778137. The reversal of 406778112 is 211877604.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808453 + ... + 808955.

Almost surely, 2^406778112 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 406778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656222112).

406778112 is an abundant number, since it is smaller than the sum of its proper divisors (905666112).

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

406778112 is an equidigital number, since it uses as much as digits as its factorization.

406778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 406778112 is about 20168.7409621920. The cubic root of 406778112 is about 740.9448073104.

The spelling of 406778112 in words is "four hundred six million, seven hundred seventy-eight thousand, one hundred twelve".