420352240 has 80 divisors (see below), whose sum is σ = 1218493440. Its totient is φ = 131016960.

The previous prime is 420352237. The next prime is 420352241. The reversal of 420352240 is 42253024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420352241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27960 + ... + 40279.

It is an arithmetic number, because the mean of its divisors is an integer number (15231168).

Almost surely, 2^420352240 is an apocalyptic number.

420352240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420352240 is an abundant number, since it is smaller than the sum of its proper divisors (798141200).

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

420352240 is a wasteful number, since it uses less digits than its factorization.

420352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68270 (or 68264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 420352240 is about 20502.4935068884. The cubic root of 420352240 is about 749.0965358107.

The spelling of 420352240 in words is "four hundred twenty million, three hundred fifty-two thousand, two hundred forty".