406244772 has 72 divisors (see below), whose sum is σ = 1049368320. Its totient is φ = 132485760.

The previous prime is 406244749. The next prime is 406244777. The reversal of 406244772 is 277442604.

It is a happy number.

406244772 is a `hidden beast` number, since 406 + 244 + 7 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (406244777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329397 + ... + 330627.

It is an arithmetic number, because the mean of its divisors is an integer number (14574560).

Almost surely, 2^406244772 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 406244772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524684160).

406244772 is an abundant number, since it is smaller than the sum of its proper divisors (643123548).

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

406244772 is a wasteful number, since it uses less digits than its factorization.

406244772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 406244772 is about 20155.5146796106. The cubic root of 406244772 is about 740.6208400770.

The spelling of 406244772 in words is "four hundred six million, two hundred forty-four thousand, seven hundred seventy-two".