420115077 has 12 divisors (see below), whose sum is σ = 609440364. Its totient is φ = 278873280.

The previous prime is 420115049. The next prime is 420115081. The reversal of 420115077 is 770511024.

It can be written as a sum of positive squares in 2 ways, for example, as 48358116 + 371756961 = 6954^2 + 19281^2 .

It is not a de Polignac number, because 420115077 - 2⁶ = 420115013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420115077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420115027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98074 + ... + 102267.

It is an arithmetic number, because the mean of its divisors is an integer number (50786697).

Almost surely, 2^420115077 is an apocalyptic number.

It is an amenable number.

420115077 is a deficient number, since it is larger than the sum of its proper divisors (189325287).

420115077 is a wasteful number, since it uses less digits than its factorization.

420115077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200580 (or 200577 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 420115077 is about 20496.7089309479. The cubic root of 420115077 is about 748.9556290608.

The spelling of 420115077 in words is "four hundred twenty million, one hundred fifteen thousand, seventy-seven".