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401454601 is a prime number
BaseRepresentation
bin10111111011011…
…011011000001001
31000222102000011221
4113323123120021
51310233021401
6103500322041
712643210402
oct2773333011
91028360157
10401454601
11196679869
12b2543321
1365230702
143b4629a9
152539e7a1
hex17edb609

401454601 has 2 divisors, whose sum is σ = 401454602. Its totient is φ = 401454600.

The previous prime is 401454587. The next prime is 401454611. The reversal of 401454601 is 106454104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278222400 + 123232201 = 16680^2 + 11101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401454601 is a prime.

It is a super-2 number, since 2×4014546012 = 322331593328138402, which contains 22 as substring.

It is equal to p21409522 and since 401454601 and 21409522 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (401454611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200727300 + 200727301.

It is an arithmetic number, because the mean of its divisors is an integer number (200727301).

Almost surely, 2401454601 is an apocalyptic number.

It is an amenable number.

401454601 is a deficient number, since it is larger than the sum of its proper divisors (1).

401454601 is an equidigital number, since it uses as much as digits as its factorization.

401454601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 401454601 is about 20036.3320245997. The cubic root of 401454601 is about 737.6983519340.

The spelling of 401454601 in words is "four hundred one million, four hundred fifty-four thousand, six hundred one".