333401376 has 384 divisors, whose sum is σ = 1191407616. Its totient is φ = 79073280.

The previous prime is 333401359. The next prime is 333401377. The reversal of 333401376 is 673104333.

It is a super-2 number, since 2×333401376² = 222312955037386752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333401377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6290566 + ... + 6290618.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^333401376 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 333401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595703808).

333401376 is an abundant number, since it is smaller than the sum of its proper divisors (858006240).

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

333401376 is a wasteful number, since it uses less digits than its factorization.

333401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 333401376 is about 18259.2819135912. The cubic root of 333401376 is about 693.4084492909.

It can be divided in two parts, 33340 and 1376, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 333401376 in words is "three hundred thirty-three million, four hundred one thousand, three hundred seventy-six".