420001440 has 96 divisors (see below), whose sum is σ = 1329955200. Its totient is φ = 111412224.

The previous prime is 420001411. The next prime is 420001453. The reversal of 420001440 is 44100024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93322 + ... + 97718.

It is an arithmetic number, because the mean of its divisors is an integer number (13853700).

Almost surely, 2^420001440 is an apocalyptic number.

420001440 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 420001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664977600).

420001440 is an abundant number, since it is smaller than the sum of its proper divisors (909953760).

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

420001440 is a wasteful number, since it uses less digits than its factorization.

420001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420001440 is about 20493.9366642917. The cubic root of 420001440 is about 748.8880945920. Note that the first 3 decimals are identical.

Adding to 420001440 its reverse (44100024), we get a palindrome (464101464).

The spelling of 420001440 in words is "four hundred twenty million, one thousand, four hundred forty".