400306240 has 56 divisors (see below), whose sum is σ = 967508352. Its totient is φ = 157724160.

The previous prime is 400306223. The next prime is 400306241. The reversal of 400306240 is 42603004.

It is not an unprimeable number, because it can be changed into a prime (400306241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12105 + ... + 30775.

Almost surely, 2^400306240 is an apocalyptic number.

400306240 is a gapful number since it is divisible by the number (40) 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 400306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483754176).

400306240 is an abundant number, since it is smaller than the sum of its proper divisors (567202112).

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

400306240 is a wasteful number, since it uses less digits than its factorization.

400306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18755 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 400306240 is about 20007.6545352023. The cubic root of 400306240 is about 736.9942847302.

Adding to 400306240 its reverse (42603004), we get a palindrome (442909244).

The spelling of 400306240 in words is "four hundred million, three hundred six thousand, two hundred forty".