400624993 has 2 divisors, whose sum is σ = 400624994. Its totient is φ = 400624992.

The previous prime is 400624979. The next prime is 400625041. The reversal of 400624993 is 399426004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296115264 + 104509729 = 17208^2 + 10223^2 .

It is a cyclic number.

It is not a de Polignac number, because 400624993 - 2¹⁷ = 400493921 is a prime.

It is not a weakly prime, because it can be changed into another prime (400624943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200312496 + 200312497.

It is an arithmetic number, because the mean of its divisors is an integer number (200312497).

Almost surely, 2^400624993 is an apocalyptic number.

It is an amenable number.

400624993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400624993 is an equidigital number, since it uses as much as digits as its factorization.

400624993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 400624993 is about 20015.6187263847. The cubic root of 400624993 is about 737.1898490174.

The spelling of 400624993 in words is "four hundred million, six hundred twenty-four thousand, nine hundred ninety-three".