147384400 has 60 divisors (see below), whose sum is σ = 355858300. Its totient is φ = 58659840.

The previous prime is 147384397. The next prime is 147384403. The reversal of 147384400 is 4483741.

It is an interprime number because it is at equal distance from previous prime (147384397) and next prime (147384403).

It can be written as a sum of positive squares in 6 ways, for example, as 26296384 + 121088016 = 5128^2 + 11004^2 .

It is a super-2 number, since 2×147384400² = 43444322726720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147384403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90796 + ... + 92404.

Almost surely, 2^147384400 is an apocalyptic number.

147384400 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 147384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177929150).

147384400 is an abundant number, since it is smaller than the sum of its proper divisors (208473900).

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

147384400 is a wasteful number, since it uses less digits than its factorization.

147384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 147384400 is about 12140.1976919653. The cubic root of 147384400 is about 528.2228359997. Note that the first 3 decimals are identical.

The spelling of 147384400 in words is "one hundred forty-seven million, three hundred eighty-four thousand, four hundred".