420312519 has 48 divisors (see below), whose sum is σ = 678637440. Its totient is φ = 248527680.

The previous prime is 420312517. The next prime is 420312521. The reversal of 420312519 is 915213024.

It is an interprime number because it is at equal distance from previous prime (420312517) and next prime (420312521).

It is not a de Polignac number, because 420312519 - 2¹ = 420312517 is a prime.

It is a super-2 number, since 2×420312519² = 353325227256250722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420312492 and 420312501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420312517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325749 + ... + 1326065.

It is an arithmetic number, because the mean of its divisors is an integer number (14138280).

Almost surely, 2^420312519 is an apocalyptic number.

420312519 is a deficient number, since it is larger than the sum of its proper divisors (258324921).

420312519 is a wasteful number, since it uses less digits than its factorization.

420312519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 420312519 is about 20501.5247969511. The cubic root of 420312519 is about 749.0729398849.

The spelling of 420312519 in words is "four hundred twenty million, three hundred twelve thousand, five hundred nineteen".