146452400 has 60 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 58026240.

The previous prime is 146452379. The next prime is 146452417. The reversal of 146452400 is 4254641.

It is a self number, because there is not a number n which added to its sum of digits gives 146452400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41921 + ... + 45279.

It is an arithmetic number, because the mean of its divisors is an integer number (5919760).

Almost surely, 2^146452400 is an apocalyptic number.

146452400 is a gapful number since it is divisible by the number (10) 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 146452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

146452400 is an abundant number, since it is smaller than the sum of its proper divisors (208733200).

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

146452400 is a wasteful number, since it uses less digits than its factorization.

146452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 146452400 is about 12101.7519392855. The cubic root of 146452400 is about 527.1070574534.

The spelling of 146452400 in words is "one hundred forty-six million, four hundred fifty-two thousand, four hundred".