400434345 has 48 divisors (see below), whose sum is σ = 710648640. Its totient is φ = 208510848.

The previous prime is 400434343. The next prime is 400434373. The reversal of 400434345 is 543434004.

It is not a de Polignac number, because 400434345 - 2¹ = 400434343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400434343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903694 + ... + 904136.

It is an arithmetic number, because the mean of its divisors is an integer number (14805180).

Almost surely, 2^400434345 is an apocalyptic number.

400434345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400434345 is a deficient number, since it is larger than the sum of its proper divisors (310214295).

400434345 is a wasteful number, since it uses less digits than its factorization.

400434345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 400434345 is about 20010.8556788559. The cubic root of 400434345 is about 737.0728933669.

Adding to 400434345 its reverse (543434004), we get a palindrome (943868349).

The spelling of 400434345 in words is "four hundred million, four hundred thirty-four thousand, three hundred forty-five".