333406740 has 96 divisors (see below), whose sum is σ = 954543744. Its totient is φ = 86929920.

The previous prime is 333406709. The next prime is 333406753. The reversal of 333406740 is 47604333.

It is a super-2 number, since 2×333406740² = 222320108554855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 333406698 and 333406707.

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, 791730 + ... + 792150.

It is an arithmetic number, because the mean of its divisors is an integer number (9943164).

Almost surely, 2^333406740 is an apocalyptic number.

333406740 is a gapful number since it is divisible by the number (30) 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 333406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477271872).

333406740 is an abundant number, since it is smaller than the sum of its proper divisors (621137004).

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

333406740 is a wasteful number, since it uses less digits than its factorization.

333406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 333406740 is about 18259.4287971995. The cubic root of 333406740 is about 693.4121679548.

The spelling of 333406740 in words is "three hundred thirty-three million, four hundred six thousand, seven hundred forty".