420975648 has 72 divisors (see below), whose sum is σ = 1199173248. Its totient is φ = 140088192.

The previous prime is 420975637. The next prime is 420975649. The reversal of 420975648 is 846579024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420975649) 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 11 ways as a sum of consecutive naturals, for example, 282361 + ... + 283847.

It is an arithmetic number, because the mean of its divisors is an integer number (16655184).

Almost surely, 2^420975648 is an apocalyptic number.

420975648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420975648 is an abundant number, since it is smaller than the sum of its proper divisors (778197600).

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

420975648 is a wasteful number, since it uses less digits than its factorization.

420975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 420975648 is about 20517.6910981718. The cubic root of 420975648 is about 749.4666715042.

The spelling of 420975648 in words is "four hundred twenty million, nine hundred seventy-five thousand, six hundred forty-eight".