340400460 has 192 divisors, whose sum is σ = 1050255360. Its totient is φ = 82114560.

The previous prime is 340400449. The next prime is 340400471. The reversal of 340400460 is 64004043.

It is an interprime number because it is at equal distance from previous prime (340400449) and next prime (340400471).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3122886 + ... + 3122994.

It is an arithmetic number, because the mean of its divisors is an integer number (5470080).

Almost surely, 2^340400460 is an apocalyptic number.

340400460 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 340400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525127680).

340400460 is an abundant number, since it is smaller than the sum of its proper divisors (709854900).

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

340400460 is a wasteful number, since it uses less digits than its factorization.

340400460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 340400460 is about 18449.9447153643. The cubic root of 340400460 is about 698.2271190804.

The spelling of 340400460 in words is "three hundred forty million, four hundred thousand, four hundred sixty".