420140400 has 120 divisors (see below), whose sum is σ = 1392373680. Its totient is φ = 108165120.

The previous prime is 420140393. The next prime is 420140411. The reversal of 420140400 is 4041024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420140400.

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 23 ways as a sum of consecutive naturals, for example, 28764 + ... + 40836.

It is an arithmetic number, because the mean of its divisors is an integer number (11603114).

Almost surely, 2^420140400 is an apocalyptic number.

420140400 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 420140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696186840).

420140400 is an abundant number, since it is smaller than the sum of its proper divisors (972233280).

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

420140400 is a wasteful number, since it uses less digits than its factorization.

420140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420140400 is about 20497.3266549567. The cubic root of 420140400 is about 748.9706768603.

Adding to 420140400 its reverse (4041024), we get a palindrome (424181424).

The spelling of 420140400 in words is "four hundred twenty million, one hundred forty thousand, four hundred".