420248444 has 48 divisors (see below), whose sum is σ = 929515776. Its totient is φ = 161481600.

The previous prime is 420248419. The next prime is 420248447. The reversal of 420248444 is 444842024.

It is a super-2 number, since 2×420248444² = 353217509368842272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420248444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420248447) 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, 13139 + ... + 31829.

It is an arithmetic number, because the mean of its divisors is an integer number (19364912).

Almost surely, 2^420248444 is an apocalyptic number.

420248444 is a gapful number since it is divisible by the number (44) 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 420248444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464757888).

420248444 is an abundant number, since it is smaller than the sum of its proper divisors (509267332).

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

420248444 is a wasteful number, since it uses less digits than its factorization.

420248444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18786 (or 18784 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 420248444 is about 20499.9620487454. The cubic root of 420248444 is about 749.0348735369.

The spelling of 420248444 in words is "four hundred twenty million, two hundred forty-eight thousand, four hundred forty-four".