3000400157 has 2 divisors, whose sum is σ = 3000400158. Its totient is φ = 3000400156.

The previous prime is 3000400133. The next prime is 3000400199. The reversal of 3000400157 is 7510040003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2810484196 + 189915961 = 53014^2 + 13781^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000400157 - 2⁶ = 3000400093 is a prime.

It is a super-2 number, since 2×3000400157² = 18004802204251249298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000400127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500200078 + 1500200079.

It is an arithmetic number, because the mean of its divisors is an integer number (1500200079).

Almost surely, 2^3000400157 is an apocalyptic number.

It is an amenable number.

3000400157 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000400157 is an equidigital number, since it uses as much as digits as its factorization.

3000400157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 3000400157 is about 54775.9085456371. The cubic root of 3000400157 is about 1442.3136925966.

The spelling of 3000400157 in words is "three billion, four hundred thousand, one hundred fifty-seven".