406499040 has 192 divisors, whose sum is σ = 1443355200. Its totient is φ = 106831872.

The previous prime is 406499021. The next prime is 406499083. The reversal of 406499040 is 40994604.

406499040 is a `hidden beast` number, since 4 + 0 + 649 + 9 + 0 + 4 + 0 = 666.

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 = 406498986 and 406499004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314716 + ... + 316004.

It is an arithmetic number, because the mean of its divisors is an integer number (7517475).

Almost surely, 2^406499040 is an apocalyptic number.

406499040 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 406499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721677600).

406499040 is an abundant number, since it is smaller than the sum of its proper divisors (1036856160).

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

406499040 is a wasteful number, since it uses less digits than its factorization.

406499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 406499040 is about 20161.8213462971. The cubic root of 406499040 is about 740.7753256790.

The spelling of 406499040 in words is "four hundred six million, four hundred ninety-nine thousand, forty".