334254960 has 360 divisors, whose sum is σ = 1263762864. Its totient is φ = 79073280.

The previous prime is 334254911. The next prime is 334254961. The reversal of 334254960 is 69452433.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×334254960² = 223452756569203200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334254961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4988847 + ... + 4988913.

Almost surely, 2^334254960 is an apocalyptic number.

334254960 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 334254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631881432).

334254960 is an abundant number, since it is smaller than the sum of its proper divisors (929507904).

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

334254960 is a wasteful number, since it uses less digits than its factorization.

334254960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 334254960 is about 18282.6409470842. The cubic root of 334254960 is about 693.9997065556. Note that the first 3 decimals are identical.

The spelling of 334254960 in words is "three hundred thirty-four million, two hundred fifty-four thousand, nine hundred sixty".