420301440 has 256 divisors, whose sum is σ = 1603929600. Its totient is φ = 103403520.

The previous prime is 420301439. The next prime is 420301447. The reversal of 420301440 is 44103024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420301447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223705 + ... + 225575.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^420301440 is an apocalyptic number.

420301440 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 420301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

420301440 is an abundant number, since it is smaller than the sum of its proper divisors (1183628160).

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

420301440 is a wasteful number, since it uses less digits than its factorization.

420301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420301440 is about 20501.2545957558. The cubic root of 420301440 is about 749.0663582330.

Adding to 420301440 its reverse (44103024), we get a palindrome (464404464).

The spelling of 420301440 in words is "four hundred twenty million, three hundred one thousand, four hundred forty".