406627540 has 48 divisors (see below), whose sum is σ = 936520704. Its totient is φ = 147075200.

The previous prime is 406627523. The next prime is 406627547. The reversal of 406627540 is 45726604.

It is a junction number, because it is equal to n+sod(n) for n = 406627496 and 406627505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406627547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37182 + ... + 46858.

It is an arithmetic number, because the mean of its divisors is an integer number (19510848).

Almost surely, 2^406627540 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 406627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468260352).

406627540 is an abundant number, since it is smaller than the sum of its proper divisors (529893164).

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

406627540 is a wasteful number, since it uses less digits than its factorization.

406627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 406627540 is about 20165.0078105613. The cubic root of 406627540 is about 740.8533739165.

The spelling of 406627540 in words is "four hundred six million, six hundred twenty-seven thousand, five hundred forty".