340405440 has 112 divisors (see below), whose sum is σ = 1088989440. Its totient is φ = 90086400.

The previous prime is 340405423. The next prime is 340405459. The reversal of 340405440 is 44504043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 340405440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132165 + ... + 134715.

It is an arithmetic number, because the mean of its divisors is an integer number (9723120).

Almost surely, 2^340405440 is an apocalyptic number.

340405440 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 340405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544494720).

340405440 is an abundant number, since it is smaller than the sum of its proper divisors (748584000).

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

340405440 is a wasteful number, since it uses less digits than its factorization.

340405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 340405440 is about 18450.0796746247. The cubic root of 340405440 is about 698.2305240445.

Adding to 340405440 its reverse (44504043), we get a palindrome (384909483).

The spelling of 340405440 in words is "three hundred forty million, four hundred five thousand, four hundred forty".