420018048 has 160 divisors (see below), whose sum is σ = 1324049760. Its totient is φ = 131715072.

The previous prime is 420018041. The next prime is 420018061. The reversal of 420018048 is 840810024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420018041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175065 + ... + 177447.

It is an arithmetic number, because the mean of its divisors is an integer number (8275311).

Almost surely, 2^420018048 is an apocalyptic number.

420018048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662024880).

420018048 is an abundant number, since it is smaller than the sum of its proper divisors (904031712).

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

420018048 is a wasteful number, since it uses less digits than its factorization.

420018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 420018048 is about 20494.3418533019. The cubic root of 420018048 is about 748.8979654864.

The spelling of 420018048 in words is "four hundred twenty million, eighteen thousand, forty-eight".