420315390 has 96 divisors (see below), whose sum is σ = 1201913856. Its totient is φ = 101062080.

The previous prime is 420315383. The next prime is 420315419. The reversal of 420315390 is 93513024.

420315390 is a `hidden beast` number, since 420 + 3 + 153 + 90 = 666.

420315390 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124059 + ... + 127401.

It is an arithmetic number, because the mean of its divisors is an integer number (12519936).

Almost surely, 2^420315390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420315390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600956928).

420315390 is an abundant number, since it is smaller than the sum of its proper divisors (781598466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420315390 is a wasteful number, since it uses less digits than its factorization.

420315390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 420315390 is about 20501.5948160137. The cubic root of 420315390 is about 749.0746454281.

The spelling of 420315390 in words is "four hundred twenty million, three hundred fifteen thousand, three hundred ninety".