420256704 has 112 divisors (see below), whose sum is σ = 1298009088. Its totient is φ = 117500928.

The previous prime is 420256703. The next prime is 420256709. The reversal of 420256704 is 407652024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420256703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59842 + ... + 66494.

Almost surely, 2^420256704 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 420256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649004544).

420256704 is an abundant number, since it is smaller than the sum of its proper divisors (877752384).

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

420256704 is a wasteful number, since it uses less digits than its factorization.

420256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 420256704 is about 20500.1635115430. The cubic root of 420256704 is about 749.0397809416.

It can be divided in two parts, 4202 and 56704, that added together give a palindrome (60906).

The spelling of 420256704 in words is "four hundred twenty million, two hundred fifty-six thousand, seven hundred four".