406629408 has 48 divisors (see below), whose sum is σ = 1096260480. Its totient is φ = 131878656.

The previous prime is 406629389. The next prime is 406629437. The reversal of 406629408 is 804926604.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53688 + ... + 60791.

It is an arithmetic number, because the mean of its divisors is an integer number (22838760).

Almost surely, 2^406629408 is an apocalyptic number.

406629408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406629408 is an abundant number, since it is smaller than the sum of its proper divisors (689631072).

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

406629408 is a wasteful number, since it uses less digits than its factorization.

406629408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114529 (or 114521 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 406629408 is about 20165.0541283677. The cubic root of 406629408 is about 740.8545083798.

The spelling of 406629408 in words is "four hundred six million, six hundred twenty-nine thousand, four hundred eight".