400630337 has 8 divisors (see below), whose sum is σ = 405443880. Its totient is φ = 395833600.

The previous prime is 400630301. The next prime is 400630367. The reversal of 400630337 is 733036004.

It can be written as a sum of positive squares in 4 ways, for example, as 339149056 + 61481281 = 18416^2 + 7841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400630337 - 2¹² = 400626241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400630367) 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, 47513 + ... + 55305.

It is an arithmetic number, because the mean of its divisors is an integer number (50680485).

Almost surely, 2^400630337 is an apocalyptic number.

It is an amenable number.

400630337 is a deficient number, since it is larger than the sum of its proper divisors (4813543).

400630337 is a wasteful number, since it uses less digits than its factorization.

400630337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403.

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 400630337 is about 20015.7522216878. The cubic root of 400630337 is about 737.1931268334.

It can be divided in two parts, 4006 and 30337, that added together give a palindrome (34343).

The spelling of 400630337 in words is "four hundred million, six hundred thirty thousand, three hundred thirty-seven".