400306000 has 40 divisors (see below), whose sum is σ = 967944744. Its totient is φ = 160121600.

The previous prime is 400305959. The next prime is 400306009. The reversal of 400306000 is 603004.

It can be written as a sum of positive squares in 4 ways, for example, as 18181696 + 382124304 = 4264^2 + 19548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400306009) 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, 98077 + ... + 102076.

Almost surely, 2^400306000 is an apocalyptic number.

400306000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400306000 is an abundant number, since it is smaller than the sum of its proper divisors (567638744).

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

400306000 is a wasteful number, since it uses less digits than its factorization.

400306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200176 (or 200160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 400306000 is about 20007.6485374969. The cubic root of 400306000 is about 736.9941374440.

Adding to 400306000 its reverse (603004), we get a palindrome (400909004).

The spelling of 400306000 in words is "four hundred million, three hundred six thousand".