334252400 has 60 divisors (see below), whose sum is σ = 814113072. Its totient is φ = 131857920.

The previous prime is 334252393. The next prime is 334252403. The reversal of 334252400 is 4252433.

It is a super-2 number, since 2×334252400² = 223449333811520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334252403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23477 + ... + 34923.

Almost surely, 2^334252400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407056536).

334252400 is an abundant number, since it is smaller than the sum of its proper divisors (479860672).

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

334252400 is a wasteful number, since it uses less digits than its factorization.

334252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 334252400 is about 18282.5709351830. The cubic root of 334252400 is about 693.9979348105.

The spelling of 334252400 in words is "three hundred thirty-four million, two hundred fifty-two thousand, four hundred".