406463352 has 64 divisors (see below), whose sum is σ = 1098595200. Its totient is φ = 124882560.

The previous prime is 406463347. The next prime is 406463357. The reversal of 406463352 is 253364604.

It is an interprime number because it is at equal distance from previous prime (406463347) and next prime (406463357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406463357) 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 15 ways as a sum of consecutive naturals, for example, 4827 + ... + 28917.

It is an arithmetic number, because the mean of its divisors is an integer number (17165550).

Almost surely, 2^406463352 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 406463352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549297600).

406463352 is an abundant number, since it is smaller than the sum of its proper divisors (692131848).

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

406463352 is a wasteful number, since it uses less digits than its factorization.

406463352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24156 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 406463352 is about 20160.9362877819. The cubic root of 406463352 is about 740.7536466090.

The spelling of 406463352 in words is "four hundred six million, four hundred sixty-three thousand, three hundred fifty-two".