420352000 has 104 divisors (see below), whose sum is σ = 1050348312. Its totient is φ = 167936000.

The previous prime is 420351949. The next prime is 420352007. The reversal of 420352000 is 253024.

It can be written as a sum of positive squares in 4 ways, for example, as 44302336 + 376049664 = 6656^2 + 19392^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (420352007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511590 + ... + 512410.

It is an arithmetic number, because the mean of its divisors is an integer number (10099503).

Almost surely, 2^420352000 is an apocalyptic number.

420352000 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 420352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525174156).

420352000 is an abundant number, since it is smaller than the sum of its proper divisors (629996312).

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

420352000 is an frugal number, since it uses more digits than its factorization.

420352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 420352000 is about 20502.4876539409. The cubic root of 420352000 is about 749.0963932451.

The spelling of 420352000 in words is "four hundred twenty million, three hundred fifty-two thousand".