613146400 has 72 divisors (see below), whose sum is σ = 1525191444. Its totient is φ = 240614400.

The previous prime is 613146379. The next prime is 613146407. The reversal of 613146400 is 4641316.

It can be written as a sum of positive squares in 6 ways, for example, as 129322384 + 483824016 = 11372^2 + 21996^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (613146407) 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, 35170 + ... + 49630.

Almost surely, 2^613146400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762595722).

613146400 is an abundant number, since it is smaller than the sum of its proper divisors (912045044).

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

613146400 is a wasteful number, since it uses less digits than its factorization.

613146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14534 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 613146400 is about 24761.7931499316. The cubic root of 613146400 is about 849.5482720849.

Adding to 613146400 its reverse (4641316), we get a palindrome (617787716).

The spelling of 613146400 in words is "six hundred thirteen million, one hundred forty-six thousand, four hundred".