334387440 has 240 divisors, whose sum is σ = 1182924288. Its totient is φ = 87775488.

The previous prime is 334387381. The next prime is 334387447. The reversal of 334387440 is 44783433.

It is a happy number.

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

It is a super-2 number, since 2×334387440² = 223629920059507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334387395 and 334387404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334387447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002237 + ... + 2002403.

Almost surely, 2^334387440 is an apocalyptic number.

334387440 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 334387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591462144).

334387440 is an abundant number, since it is smaller than the sum of its proper divisors (848536848).

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

334387440 is a wasteful number, since it uses less digits than its factorization.

334387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 334387440 is about 18286.2636971034. The cubic root of 334387440 is about 694.0913820210.

The spelling of 334387440 in words is "three hundred thirty-four million, three hundred eighty-seven thousand, four hundred forty".