420449520 has 80 divisors (see below), whose sum is σ = 1310808960. Its totient is φ = 111482112.

The previous prime is 420449509. The next prime is 420449527. The reversal of 420449520 is 25944024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420449527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38067 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (16385112).

Almost surely, 2^420449520 is an apocalyptic number.

420449520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655404480).

420449520 is an abundant number, since it is smaller than the sum of its proper divisors (890359440).

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

420449520 is a wasteful number, since it uses less digits than its factorization.

420449520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 420449520 is about 20504.8657640083. The cubic root of 420449520 is about 749.1543178986.

The spelling of 420449520 in words is "four hundred twenty million, four hundred forty-nine thousand, five hundred twenty".