406853376 has 72 divisors (see below), whose sum is σ = 1093163904. Its totient is φ = 134323200.

The previous prime is 406853353. The next prime is 406853407. The reversal of 406853376 is 673358604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79701 + ... + 84651.

It is an arithmetic number, because the mean of its divisors is an integer number (15182832).

Almost surely, 2^406853376 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 406853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546581952).

406853376 is an abundant number, since it is smaller than the sum of its proper divisors (686310528).

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

406853376 is a wasteful number, since it uses less digits than its factorization.

406853376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 406853376 is about 20170.6067335616. The cubic root of 406853376 is about 740.9905021903.

The spelling of 406853376 in words is "four hundred six million, eight hundred fifty-three thousand, three hundred seventy-six".