406852680 has 256 divisors, whose sum is σ = 1393459200. Its totient is φ = 94325760.

The previous prime is 406852673. The next prime is 406852709. The reversal of 406852680 is 86258604.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 2272831 + ... + 2273009.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^406852680 is an apocalyptic number.

406852680 is a gapful number since it is divisible by the number (40) 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 406852680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

406852680 is an abundant number, since it is smaller than the sum of its proper divisors (986606520).

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

406852680 is a wasteful number, since it uses less digits than its factorization.

406852680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 406852680 is about 20170.5894807266. The cubic root of 406852680 is about 740.9900796551.

It can be divided in two parts, 40685 and 2680, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 406852680 in words is "four hundred six million, eight hundred fifty-two thousand, six hundred eighty".