420753401 has 2 divisors, whose sum is σ = 420753402. Its totient is φ = 420753400.

The previous prime is 420753397. The next prime is 420753479. The reversal of 420753401 is 104357024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 420291001 + 462400 = 20501^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 420753401 - 2² = 420753397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_22382522 and since 420753401 and 22382522 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 (420753481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210376700 + 210376701.

It is an arithmetic number, because the mean of its divisors is an integer number (210376701).

Almost surely, 2^420753401 is an apocalyptic number.

It is an amenable number.

420753401 is a deficient number, since it is larger than the sum of its proper divisors (1).

420753401 is an equidigital number, since it uses as much as digits as its factorization.

420753401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 420753401 is about 20512.2743985156. The cubic root of 420753401 is about 749.3347588542.

The spelling of 420753401 in words is "four hundred twenty million, seven hundred fifty-three thousand, four hundred one".