406846080 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 99753984.

The previous prime is 406846051. The next prime is 406846081. The reversal of 406846080 is 80648604.

406846080 is a `hidden beast` number, since 40 + 6 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×406846080² = 331047465622732800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406846081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4901719 + ... + 4901801.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^406846080 is an apocalyptic number.

406846080 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 406846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

406846080 is an abundant number, since it is smaller than the sum of its proper divisors (1116887040).

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

406846080 is a wasteful number, since it uses less digits than its factorization.

406846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 406846080 is about 20170.4258755238. The cubic root of 406846080 is about 740.9860728313.

It can be divided in two parts, 40684 and 6080, that added together give a palindrome (46764).

The spelling of 406846080 in words is "four hundred six million, eight hundred forty-six thousand, eighty".