400400340 has 96 divisors (see below), whose sum is σ = 1176591360. Its totient is φ = 101606400.

The previous prime is 400400323. The next prime is 400400359. The reversal of 400400340 is 43004004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111696 + ... + 115224.

It is an arithmetic number, because the mean of its divisors is an integer number (12256160).

Almost surely, 2^400400340 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 400400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588295680).

400400340 is an abundant number, since it is smaller than the sum of its proper divisors (776191020).

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

400400340 is a wasteful number, since it uses less digits than its factorization.

400400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 400400340 is about 20010.0059970006. The cubic root of 400400340 is about 737.0520286287.

Adding to 400400340 its reverse (43004004), we get a palindrome (443404344).

The spelling of 400400340 in words is "four hundred million, four hundred thousand, three hundred forty".