420063040 has 112 divisors (see below), whose sum is σ = 1038081744. Its totient is φ = 161792000.

The previous prime is 420063037. The next prime is 420063043. The reversal of 420063040 is 40360024.

It is an interprime number because it is at equal distance from previous prime (420063037) and next prime (420063043).

It can be written as a sum of positive squares in 8 ways, for example, as 44943616 + 375119424 = 6704^2 + 19368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420062999 and 420063017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420063043) by changing a digit.

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, 1324962 + ... + 1325278.

It is an arithmetic number, because the mean of its divisors is an integer number (9268587).

Almost surely, 2^420063040 is an apocalyptic number.

420063040 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 420063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519040872).

420063040 is an abundant number, since it is smaller than the sum of its proper divisors (618018704).

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

420063040 is a wasteful number, since it uses less digits than its factorization.

420063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 420063040 is about 20495.4394927262. The cubic root of 420063040 is about 748.9247049835.

The spelling of 420063040 in words is "four hundred twenty million, sixty-three thousand, forty".