420312400 has 30 divisors (see below), whose sum is σ = 1009801502. Its totient is φ = 168124800.

The previous prime is 420312383. The next prime is 420312413. The reversal of 420312400 is 4213024.

It can be written as a sum of positive squares in 3 ways, for example, as 3825936 + 416486464 = 1956^2 + 20408^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 524991 + ... + 525790.

Almost surely, 2^420312400 is an apocalyptic number.

420312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420312400 is an abundant number, since it is smaller than the sum of its proper divisors (589489102).

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

420312400 is a wasteful number, since it uses less digits than its factorization.

420312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050799 (or 1050788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420312400 is about 20501.5218947277. The cubic root of 420312400 is about 749.0728691917.

Adding to 420312400 its reverse (4213024), we get a palindrome (424525424).

The spelling of 420312400 in words is "four hundred twenty million, three hundred twelve thousand, four hundred".