333406464 has 72 divisors (see below), whose sum is σ = 904200192. Its totient is φ = 109025280.

The previous prime is 333406453. The next prime is 333406481. The reversal of 333406464 is 464604333.

It is a super-2 number, since 2×333406464² = 222319740473966592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36609 + ... + 44799.

It is an arithmetic number, because the mean of its divisors is an integer number (12558336).

Almost surely, 2^333406464 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 333406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452100096).

333406464 is an abundant number, since it is smaller than the sum of its proper divisors (570793728).

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

333406464 is an equidigital number, since it uses as much as digits as its factorization.

333406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 333406464 is about 18259.4212394588. The cubic root of 333406464 is about 693.4119766152.

The spelling of 333406464 in words is "three hundred thirty-three million, four hundred six thousand, four hundred sixty-four".