406414140 has 192 divisors, whose sum is σ = 1329011712. Its totient is φ = 91801600.

The previous prime is 406414133. The next prime is 406414159. The reversal of 406414140 is 41414604.

It is a self number, because there is not a number n which added to its sum of digits gives 406414140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622054 + ... + 622706.

It is an arithmetic number, because the mean of its divisors is an integer number (6921936).

Almost surely, 2^406414140 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 406414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664505856).

406414140 is an abundant number, since it is smaller than the sum of its proper divisors (922597572).

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

406414140 is a wasteful number, since it uses less digits than its factorization.

406414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 406414140 is about 20159.7157718059. The cubic root of 406414140 is about 740.7237501541.

Adding to 406414140 its reverse (41414604), we get a palindrome (447828744).

The spelling of 406414140 in words is "four hundred six million, four hundred fourteen thousand, one hundred forty".