420313000 has 32 divisors (see below), whose sum is σ = 983534760. Its totient is φ = 168124800.

The previous prime is 420312983. The next prime is 420313073. The reversal of 420313000 is 313024.

It can be written as a sum of positive squares in 4 ways, for example, as 63329764 + 356983236 = 7958^2 + 18894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209157 + ... + 211156.

Almost surely, 2^420313000 is an apocalyptic number.

420313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420313000 is an abundant number, since it is smaller than the sum of its proper divisors (563221760).

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

420313000 is a wasteful number, since it uses less digits than its factorization.

420313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420334 (or 420320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 420313000 is about 20501.5365277825. The cubic root of 420313000 is about 749.0732256278.

Adding to 420313000 its reverse (313024), we get a palindrome (420626024).

The spelling of 420313000 in words is "four hundred twenty million, three hundred thirteen thousand".