406924740 has 144 divisors (see below), whose sum is σ = 1296667008. Its totient is φ = 103099392.

The previous prime is 406924709. The next prime is 406924741. The reversal of 406924740 is 47429604.

406924740 is a `hidden beast` number, since 406 + 9 + 247 + 4 + 0 = 666.

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 junction number, because it is equal to n+sod(n) for n = 406924695 and 406924704.

It is not an unprimeable number, because it can be changed into a prime (406924741) by changing a digit.

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, 939564 + ... + 939996.

It is an arithmetic number, because the mean of its divisors is an integer number (9004632).

Almost surely, 2^406924740 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 406924740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

406924740 is an abundant number, since it is smaller than the sum of its proper divisors (889742268).

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

406924740 is a wasteful number, since it uses less digits than its factorization.

406924740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 406924740 is about 20172.3756657465. The cubic root of 406924740 is about 741.0338240665.

The spelling of 406924740 in words is "four hundred six million, nine hundred twenty-four thousand, seven hundred forty".