334475400 has 192 divisors, whose sum is σ = 1198673280. Its totient is φ = 75571200.

The previous prime is 334475389. The next prime is 334475423. The reversal of 334475400 is 4574433.

It is a super-2 number, since 2×334475400² = 223747586410320000, 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, 406990 + ... + 407810.

It is an arithmetic number, because the mean of its divisors is an integer number (6243090).

Almost surely, 2^334475400 is an apocalyptic number.

334475400 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 334475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599336640).

334475400 is an abundant number, since it is smaller than the sum of its proper divisors (864197880).

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

334475400 is a wasteful number, since it uses less digits than its factorization.

334475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 334475400 is about 18288.6686229479. The cubic root of 334475400 is about 694.1522365051.

The spelling of 334475400 in words is "three hundred thirty-four million, four hundred seventy-five thousand, four hundred".