420255440 has 80 divisors (see below), whose sum is σ = 1069217280. Its totient is φ = 152348160.

The previous prime is 420255427. The next prime is 420255481. The reversal of 420255440 is 44552024.

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

It is a super-2 number, since 2×420255440² = 353229269699187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421022 + ... + 422018.

It is an arithmetic number, because the mean of its divisors is an integer number (13365216).

Almost surely, 2^420255440 is an apocalyptic number.

420255440 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 420255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534608640).

420255440 is an abundant number, since it is smaller than the sum of its proper divisors (648961840).

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

420255440 is a wasteful number, since it uses less digits than its factorization.

420255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 420255440 is about 20500.1326824974. The cubic root of 420255440 is about 749.0390299821.

The spelling of 420255440 in words is "four hundred twenty million, two hundred fifty-five thousand, four hundred forty".