406626480 has 240 divisors, whose sum is σ = 1526048160. Its totient is φ = 100030464.

The previous prime is 406626449. The next prime is 406626491. The reversal of 406626480 is 84626604.

It is a happy number.

406626480 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 251916 + ... + 253524.

It is an arithmetic number, because the mean of its divisors is an integer number (6358534).

Almost surely, 2^406626480 is an apocalyptic number.

406626480 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 406626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763024080).

406626480 is an abundant number, since it is smaller than the sum of its proper divisors (1119421680).

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

406626480 is a wasteful number, since it uses less digits than its factorization.

406626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 406626480 is about 20164.9815273905. The cubic root of 406626480 is about 740.8527301618.

The spelling of 406626480 in words is "four hundred six million, six hundred twenty-six thousand, four hundred eighty".