406624020 has 96 divisors (see below), whose sum is σ = 1315149696. Its totient is φ = 92774400.

The previous prime is 406624007. The next prime is 406624091. The reversal of 406624020 is 20426604.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6901 + ... + 29340.

It is an arithmetic number, because the mean of its divisors is an integer number (13699476).

Almost surely, 2^406624020 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 406624020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657574848).

406624020 is an abundant number, since it is smaller than the sum of its proper divisors (908525676).

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

406624020 is a wasteful number, since it uses less digits than its factorization.

406624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36281 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 406624020 is about 20164.9205304658. The cubic root of 406624020 is about 740.8512361605.

It can be divided in two parts, 406 and 624020, that added together give a palindrome (624426).

The spelling of 406624020 in words is "four hundred six million, six hundred twenty-four thousand, twenty".