406576896 has 288 divisors, whose sum is σ = 1324512000. Its totient is φ = 109117440.

The previous prime is 406576889. The next prime is 406576927. The reversal of 406576896 is 698675604.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728630 + ... + 2728778.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^406576896 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 406576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256000).

406576896 is an abundant number, since it is smaller than the sum of its proper divisors (917935104).

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

406576896 is a wasteful number, since it uses less digits than its factorization.

406576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 406576896 is about 20163.7520318020. The cubic root of 406576896 is about 740.8226157637.

The spelling of 406576896 in words is "four hundred six million, five hundred seventy-six thousand, eight hundred ninety-six".