420481440 has 144 divisors (see below), whose sum is σ = 1484519400. Its totient is φ = 108251136.

The previous prime is 420481429. The next prime is 420481447. The reversal of 420481440 is 44184024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294053904 + 126427536 = 17148^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (420481447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36726 + ... + 46794.

Almost surely, 2^420481440 is an apocalyptic number.

420481440 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 420481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742259700).

420481440 is an abundant number, since it is smaller than the sum of its proper divisors (1064037960).

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

420481440 is a wasteful number, since it uses less digits than its factorization.

420481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 420481440 is about 20505.6441010762. The cubic root of 420481440 is about 749.1732757041.

The spelling of 420481440 in words is "four hundred twenty million, four hundred eighty-one thousand, four hundred forty".