420733440 has 200 divisors, whose sum is σ = 1507676940. Its totient is φ = 112140288.

The previous prime is 420733427. The next prime is 420733441. The reversal of 420733440 is 44337024.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 31539456 = 19728^2 + 5616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (420733441) 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, 206346 + ... + 208374.

Almost surely, 2^420733440 is an apocalyptic number.

420733440 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 420733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753838470).

420733440 is an abundant number, since it is smaller than the sum of its proper divisors (1086943500).

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

420733440 is an equidigital number, since it uses as much as digits as its factorization.

420733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 420733440 is about 20511.7878304160. The cubic root of 420733440 is about 749.3229089142.

The spelling of 420733440 in words is "four hundred twenty million, seven hundred thirty-three thousand, four hundred forty".