420190752 has 48 divisors (see below), whose sum is σ = 1105241760. Its totient is φ = 139779072.

The previous prime is 420190747. The next prime is 420190781. The reversal of 420190752 is 257091024.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 46024 + ... + 54392.

It is an arithmetic number, because the mean of its divisors is an integer number (23025870).

Almost surely, 2^420190752 is an apocalyptic number.

It is an amenable number.

420190752 is an abundant number, since it is smaller than the sum of its proper divisors (685051008).

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

420190752 is a wasteful number, since it uses less digits than its factorization.

420190752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 420190752 is about 20498.5548758931. The cubic root of 420190752 is about 749.0005959581. Note that the first 3 decimals are identical.

The spelling of 420190752 in words is "four hundred twenty million, one hundred ninety thousand, seven hundred fifty-two".