420312399 has 32 divisors (see below), whose sum is σ = 637701120. Its totient is φ = 244390272.

The previous prime is 420312383. The next prime is 420312413. The reversal of 420312399 is 993213024.

It is not a de Polignac number, because 420312399 - 2⁴ = 420312383 is a prime.

It is a super-3 number, since 3×420312399³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420312329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49204 + ... + 57110.

It is an arithmetic number, because the mean of its divisors is an integer number (19928160).

Almost surely, 2^420312399 is an apocalyptic number.

420312399 is a deficient number, since it is larger than the sum of its proper divisors (217388721).

420312399 is a wasteful number, since it uses less digits than its factorization.

420312399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 420312399 is about 20501.5218703393. The cubic root of 420312399 is about 749.0728685976.

The spelling of 420312399 in words is "four hundred twenty million, three hundred twelve thousand, three hundred ninety-nine".