147046400 has 90 divisors (see below), whose sum is σ = 365679720. Its totient is φ = 58654720.

The previous prime is 147046381. The next prime is 147046411. The reversal of 147046400 is 4640741.

It is a self number, because there is not a number n which added to its sum of digits gives 147046400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409421 + ... + 409779.

It is an arithmetic number, because the mean of its divisors is an integer number (4063108).

Almost surely, 2^147046400 is an apocalyptic number.

147046400 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 147046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182839860).

147046400 is an abundant number, since it is smaller than the sum of its proper divisors (218633320).

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

147046400 is an frugal number, since it uses more digits than its factorization.

147046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 147046400 is about 12126.2690057577. The cubic root of 147046400 is about 527.8187317764.

The spelling of 147046400 in words is "one hundred forty-seven million, forty-six thousand, four hundred".