334448920 has 64 divisors (see below), whose sum is σ = 832345920. Its totient is φ = 120144384.

The previous prime is 334448903. The next prime is 334448923. The reversal of 334448920 is 29844433.

It is a super-2 number, since 2×334448920² = 223712160178332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 334448920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334448923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10549 + ... + 27931.

It is an arithmetic number, because the mean of its divisors is an integer number (13005405).

Almost surely, 2^334448920 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 334448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416172960).

334448920 is an abundant number, since it is smaller than the sum of its proper divisors (497897000).

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

334448920 is a wasteful number, since it uses less digits than its factorization.

334448920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 334448920 is about 18287.9446630834. The cubic root of 334448920 is about 694.1339176329.

The spelling of 334448920 in words is "three hundred thirty-four million, four hundred forty-eight thousand, nine hundred twenty".