420131448 has 256 divisors, whose sum is σ = 1346112000. Its totient is φ = 121772160.

The previous prime is 420131447. The next prime is 420131479. The reversal of 420131448 is 844131024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420131441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7120843 + ... + 7120901.

It is an arithmetic number, because the mean of its divisors is an integer number (5258250).

Almost surely, 2^420131448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420131448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673056000).

420131448 is an abundant number, since it is smaller than the sum of its proper divisors (925980552).

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

420131448 is a wasteful number, since it uses less digits than its factorization.

420131448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 420131448 is about 20497.1082838531. The cubic root of 420131448 is about 748.9653573424.

The spelling of 420131448 in words is "four hundred twenty million, one hundred thirty-one thousand, four hundred forty-eight".