146800400 has 30 divisors (see below), whose sum is σ = 352688922. Its totient is φ = 58720000.

The previous prime is 146800399. The next prime is 146800439. The reversal of 146800400 is 4008641.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 146700544 = 316^2 + 12112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183101 + ... + 183900.

Almost surely, 2^146800400 is an apocalyptic number.

146800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146800400 is an abundant number, since it is smaller than the sum of its proper divisors (205888522).

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

146800400 is a wasteful number, since it uses less digits than its factorization.

146800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367019 (or 367008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 146800400 is about 12116.1214916325. The cubic root of 146800400 is about 527.5242308973.

The spelling of 146800400 in words is "one hundred forty-six million, eight hundred thousand, four hundred".