334400430 has 128 divisors (see below), whose sum is σ = 993420288. Its totient is φ = 70152192.

The previous prime is 334400393. The next prime is 334400431. The reversal of 334400430 is 34004433.

It is a super-2 number, since 2×334400430² = 223647295168369800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 334400397 and 334400406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334400431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947134 + ... + 947486.

It is an arithmetic number, because the mean of its divisors is an integer number (7761096).

Almost surely, 2^334400430 is an apocalyptic number.

334400430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496710144).

334400430 is an abundant number, since it is smaller than the sum of its proper divisors (659019858).

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

334400430 is a wasteful number, since it uses less digits than its factorization.

334400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 334400430 is about 18286.6188782946. The cubic root of 334400430 is about 694.1003697292.

Adding to 334400430 its reverse (34004433), we get a palindrome (368404863).

The spelling of 334400430 in words is "three hundred thirty-four million, four hundred thousand, four hundred thirty".