406353376 has 48 divisors (see below), whose sum is σ = 939880368. Its totient is φ = 170496000.

The previous prime is 406353373. The next prime is 406353379. The reversal of 406353376 is 673353604.

It is an interprime number because it is at equal distance from previous prime (406353373) and next prime (406353379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406353373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39825 + ... + 48976.

It is an arithmetic number, because the mean of its divisors is an integer number (19580841).

Almost surely, 2^406353376 is an apocalyptic number.

It is an amenable number.

406353376 is an abundant number, since it is smaller than the sum of its proper divisors (533526992).

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

406353376 is a wasteful number, since it uses less digits than its factorization.

406353376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88835 (or 88827 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The square root of 406353376 is about 20158.2086505721. The cubic root of 406353376 is about 740.6868324907.

The spelling of 406353376 in words is "four hundred six million, three hundred fifty-three thousand, three hundred seventy-six".