420146400 has 72 divisors (see below), whose sum is σ = 1367584344. Its totient is φ = 112038400.

The previous prime is 420146399. The next prime is 420146401. The reversal of 420146400 is 4641024.

It is an interprime number because it is at equal distance from previous prime (420146399) and next prime (420146401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420146401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 85131 + ... + 89930.

It is an arithmetic number, because the mean of its divisors is an integer number (18994227).

Almost surely, 2^420146400 is an apocalyptic number.

420146400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420146400 is an abundant number, since it is smaller than the sum of its proper divisors (947437944).

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

420146400 is a wasteful number, since it uses less digits than its factorization.

420146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175084 (or 175071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420146400 is about 20497.4730149841. The cubic root of 420146400 is about 748.9742421785.

Adding to 420146400 its reverse (4641024), we get a palindrome (424787424).

The spelling of 420146400 in words is "four hundred twenty million, one hundred forty-six thousand, four hundred".