406376334 has 192 divisors, whose sum is σ = 1147281408. Its totient is φ = 101088000.

The previous prime is 406376329. The next prime is 406376371. The reversal of 406376334 is 433673604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2691159 + ... + 2691309.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2^406376334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406376334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704).

406376334 is an abundant number, since it is smaller than the sum of its proper divisors (740905074).

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

406376334 is a wasteful number, since it uses less digits than its factorization.

406376334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 406376334 is about 20158.7780879695. The cubic root of 406376334 is about 740.7007812432.

It can be divided in two parts, 40637 and 6334, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 406376334 in words is "four hundred six million, three hundred seventy-six thousand, three hundred thirty-four".