334481400 has 240 divisors, whose sum is σ = 1267988040. Its totient is φ = 81043200.

The previous prime is 334481393. The next prime is 334481431. The reversal of 334481400 is 4184433.

It is a super-2 number, since 2×334481400² = 223755613891920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177262 + ... + 179138.

Almost surely, 2^334481400 is an apocalyptic number.

334481400 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 334481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633994020).

334481400 is an abundant number, since it is smaller than the sum of its proper divisors (933506640).

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

334481400 is a wasteful number, since it uses less digits than its factorization.

334481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 334481400 is about 18288.8326582098. The cubic root of 334481400 is about 694.1563871726.

The spelling of 334481400 in words is "three hundred thirty-four million, four hundred eighty-one thousand, four hundred".