420917541 has 16 divisors (see below), whose sum is σ = 616923648. Its totient is φ = 253151600.

The previous prime is 420917537. The next prime is 420917591. The reversal of 420917541 is 145719024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 420917541 - 2² = 420917537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420917591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44361 + ... + 53006.

It is an arithmetic number, because the mean of its divisors is an integer number (38557728).

Almost surely, 2^420917541 is an apocalyptic number.

It is an amenable number.

420917541 is a deficient number, since it is larger than the sum of its proper divisors (196006107).

420917541 is a wasteful number, since it uses less digits than its factorization.

420917541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97512.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 420917541 is about 20516.2750274020. The cubic root of 420917541 is about 749.4321871154.

The spelling of 420917541 in words is "four hundred twenty million, nine hundred seventeen thousand, five hundred forty-one".