406413040 has 160 divisors (see below), whose sum is σ = 1099929600. Its totient is φ = 138101760.

The previous prime is 406413019. The next prime is 406413041. The reversal of 406413040 is 40314604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406413041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822369 + ... + 1822591.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^406413040 is an apocalyptic number.

406413040 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 406413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

406413040 is an abundant number, since it is smaller than the sum of its proper divisors (693516560).

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

406413040 is a wasteful number, since it uses less digits than its factorization.

406413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 406413040 is about 20159.6884896568. The cubic root of 406413040 is about 740.7230818729.

Adding to 406413040 its reverse (40314604), we get a palindrome (446727644).

It can be divided in two parts, 40641 and 3040, that added together give a square (43681 = 209²).

The spelling of 406413040 in words is "four hundred six million, four hundred thirteen thousand, forty".