420753004 has 36 divisors (see below), whose sum is σ = 859126800. Its totient is φ = 179776800.

The previous prime is 420752999. The next prime is 420753089. The reversal of 420753004 is 400357024.

It is a self number, because there is not a number n which added to its sum of digits gives 420753004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65329 + ... + 71479.

Almost surely, 2^420753004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420753004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429563400).

420753004 is an abundant number, since it is smaller than the sum of its proper divisors (438373796).

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

420753004 is a wasteful number, since it uses less digits than its factorization.

420753004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 420753004 is about 20512.2647213807. The cubic root of 420753004 is about 749.3345231769.

It can be divided in two parts, 420 and 753004, that added together give a square (753424 = 868²).

The spelling of 420753004 in words is "four hundred twenty million, seven hundred fifty-three thousand, four".