420424410 has 96 divisors (see below), whose sum is σ = 1184611392. Its totient is φ = 95208960.

The previous prime is 420424409. The next prime is 420424421. The reversal of 420424410 is 14424024.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 164845 + ... + 167375.

It is an arithmetic number, because the mean of its divisors is an integer number (12339702).

Almost surely, 2^420424410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420424410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592305696).

420424410 is an abundant number, since it is smaller than the sum of its proper divisors (764186982).

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

420424410 is a wasteful number, since it uses less digits than its factorization.

420424410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420424410 is about 20504.2534611724. The cubic root of 420424410 is about 749.1394039882.

Adding to 420424410 its reverse (14424024), we get a palindrome (434848434).

The spelling of 420424410 in words is "four hundred twenty million, four hundred twenty-four thousand, four hundred ten".