406238902272 has 576 divisors, whose sum is σ = 1436425099200. Its totient is φ = 107961384960.

The previous prime is 406238902219. The next prime is 406238902301. The reversal of 406238902272 is 272209832604.

406238902272 is a `hidden beast` number, since 40 + 6 + 2 + 389 + 0 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195212272 + ... + 195214352.

It is an arithmetic number, because the mean of its divisors is an integer number (2493793575).

Almost surely, 2^406238902272 is an apocalyptic number.

406238902272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406238902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718212549600).

406238902272 is an abundant number, since it is smaller than the sum of its proper divisors (1030186196928).

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

406238902272 is a wasteful number, since it uses less digits than its factorization.

406238902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 406238902272 in words is "four hundred six billion, two hundred thirty-eight million, nine hundred two thousand, two hundred seventy-two".