334448400 has 240 divisors, whose sum is σ = 1259294400. Its totient is φ = 74803200.

The previous prime is 334448377. The next prime is 334448419. The reversal of 334448400 is 4844433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×334448400² = 223711464525120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170626 + ... + 172574.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2^334448400 is an apocalyptic number.

334448400 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 334448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629647200).

334448400 is an abundant number, since it is smaller than the sum of its proper divisors (924846000).

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

334448400 is a wasteful number, since it uses less digits than its factorization.

334448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 334448400 is about 18287.9304460620. The cubic root of 334448400 is about 694.1335578871.

The spelling of 334448400 in words is "three hundred thirty-four million, four hundred forty-eight thousand, four hundred".