420114240 has 504 divisors, whose sum is σ = 1818147240. Its totient is φ = 88252416.

The previous prime is 420114239. The next prime is 420114269. The reversal of 420114240 is 42411024.

420114240 is a `hidden beast` number, since 420 + 1 + 1 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59721984 + 360392256 = 7728^2 + 18984^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834446 + ... + 1834674.

It is an arithmetic number, because the mean of its divisors is an integer number (3607435).

Almost surely, 2^420114240 is an apocalyptic number.

420114240 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 420114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909073620).

420114240 is an abundant number, since it is smaller than the sum of its proper divisors (1398033000).

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

420114240 is a wasteful number, since it uses less digits than its factorization.

420114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420114240 is about 20496.6885130257. The cubic root of 420114240 is about 748.9551316762.

Adding to 420114240 its reverse (42411024), we get a palindrome (462525264).

The spelling of 420114240 in words is "four hundred twenty million, one hundred fourteen thousand, two hundred forty".