420726400 has 48 divisors (see below), whose sum is σ = 1039333590. Its totient is φ = 168289280.

The previous prime is 420726391. The next prime is 420726401. The reversal of 420726400 is 4627024.

It can be written as a sum of positive squares in 3 ways, for example, as 397763136 + 22963264 = 19944^2 + 4792^2 .

It is a super-3 number, since 3×420726400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (420726401) 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 5 ways as a sum of consecutive naturals, for example, 62539 + ... + 68938.

Almost surely, 2^420726400 is an apocalyptic number.

420726400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420726400 is an abundant number, since it is smaller than the sum of its proper divisors (618607190).

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

420726400 is a wasteful number, since it uses less digits than its factorization.

420726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131501 (or 131484 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 420726400 is about 20511.6162210587. The cubic root of 420726400 is about 749.3187294962.

The spelling of 420726400 in words is "four hundred twenty million, seven hundred twenty-six thousand, four hundred".