420330240 has 432 divisors, whose sum is σ = 1652990976. Its totient is φ = 97689600.

The previous prime is 420330167. The next prime is 420330257. The reversal of 420330240 is 42033024.

420330240 is a `hidden beast` number, since 420 + 3 + 3 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3928267 + ... + 3928373.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^420330240 is an apocalyptic number.

420330240 is a gapful number since it is divisible by the number (40) 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 420330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

420330240 is an abundant number, since it is smaller than the sum of its proper divisors (1232660736).

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

420330240 is a wasteful number, since it uses less digits than its factorization.

420330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420330240 is about 20501.9569797617. The cubic root of 420330240 is about 749.0834670795.

Adding to 420330240 its reverse (42033024), we get a palindrome (462363264).

It can be divided in two parts, 4203 and 30240, that added together give a palindrome (34443).

The spelling of 420330240 in words is "four hundred twenty million, three hundred thirty thousand, two hundred forty".