420575752 has 24 divisors (see below), whose sum is σ = 794661210. Its totient is φ = 208678400.

The previous prime is 420575711. The next prime is 420575759. The reversal of 420575752 is 257575024.

It can be written as a sum of positive squares in 3 ways, for example, as 383924836 + 36650916 = 19594^2 + 6054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420575759) 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 5 ways as a sum of consecutive naturals, for example, 148752 + ... + 151552.

Almost surely, 2^420575752 is an apocalyptic number.

It is an amenable number.

420575752 is a deficient number, since it is larger than the sum of its proper divisors (374085458).

420575752 is a wasteful number, since it uses less digits than its factorization.

420575752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 420575752 is about 20507.9436316760. The cubic root of 420575752 is about 749.2292835254.

The spelling of 420575752 in words is "four hundred twenty million, five hundred seventy-five thousand, seven hundred fifty-two".