406885752 has 288 divisors, whose sum is σ = 1449096480. Its totient is φ = 100638720.

The previous prime is 406885733. The next prime is 406885777. The reversal of 406885752 is 257588604.

It is a junction number, because it is equal to n+sod(n) for n = 406885698 and 406885707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1447852 + ... + 1448132.

It is an arithmetic number, because the mean of its divisors is an integer number (5031585).

Almost surely, 2^406885752 is an apocalyptic number.

406885752 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 406885752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724548240).

406885752 is an abundant number, since it is smaller than the sum of its proper divisors (1042210728).

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

406885752 is a wasteful number, since it uses less digits than its factorization.

406885752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 406885752 is about 20171.4092715407. The cubic root of 406885752 is about 741.0101568322.

The spelling of 406885752 in words is "four hundred six million, eight hundred eighty-five thousand, seven hundred fifty-two".