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400444381 is a prime number
BaseRepresentation
bin10111110111100…
…100101111011101
31000220111200102101
4113313210233131
51310003210011
6103422525101
712631502221
oct2767445735
91026450371
10400444381
11196049877
12b2136791
1364c6894c
143b27c781
15252502c1
hex17de4bdd

400444381 has 2 divisors, whose sum is σ = 400444382. Its totient is φ = 400444380.

The previous prime is 400444351. The next prime is 400444403. The reversal of 400444381 is 183444004.

It is the 8170-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397364356 + 3080025 = 19934^2 + 1755^2 .

It is a cyclic number.

It is not a de Polignac number, because 400444381 - 25 = 400444349 is a prime.

It is a super-2 number, since 2×4004443812 = 320711404548946322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400444351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200222190 + 200222191.

It is an arithmetic number, because the mean of its divisors is an integer number (200222191).

Almost surely, 2400444381 is an apocalyptic number.

It is an amenable number.

400444381 is a deficient number, since it is larger than the sum of its proper divisors (1).

400444381 is an equidigital number, since it uses as much as digits as its factorization.

400444381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 400444381 is about 20011.1064411741. The cubic root of 400444381 is about 737.0790510153.

Adding to 400444381 its reverse (183444004), we get a palindrome (583888385).

The spelling of 400444381 in words is "four hundred million, four hundred forty-four thousand, three hundred eighty-one".