406248165376 has 117 divisors (see below), whose sum is σ = 851220343029. Its totient is φ = 193843888128.

The previous prime is 406248165373. The next prime is 406248165397. The reversal of 406248165376 is 673561842604.

The square root of 406248165376 is 637376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45556633600 + 360691531776 = 213440^2 + 600576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406248165371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938217256 + ... + 938217688.

Almost surely, 2^406248165376 is an apocalyptic number.

406248165376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

406248165376 is the 637376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406248165376

406248165376 is an abundant number, since it is smaller than the sum of its proper divisors (444972177653).

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

406248165376 is an frugal number, since it uses more digits than its factorization.

406248165376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 406248165376 in words is "four hundred six billion, two hundred forty-eight million, one hundred sixty-five thousand, three hundred seventy-six".