420842048 has 56 divisors (see below), whose sum is σ = 928298880. Its totient is φ = 187665920.

The previous prime is 420842041. The next prime is 420842057. The reversal of 420842048 is 840248024.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (420842041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31673 + ... + 42951.

Almost surely, 2^420842048 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 420842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464149440).

420842048 is an abundant number, since it is smaller than the sum of its proper divisors (507456832).

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

420842048 is a wasteful number, since it uses less digits than its factorization.

420842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 420842048 is about 20514.4351128663. The cubic root of 420842048 is about 749.3873800282.

The spelling of 420842048 in words is "four hundred twenty million, eight hundred forty-two thousand, forty-eight".