613400400 has 90 divisors (see below), whose sum is σ = 2128682270. Its totient is φ = 163572480.

The previous prime is 613400387. The next prime is 613400401. The reversal of 613400400 is 4004316.

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 592825104 = 4536^2 + 24348^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613400401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81595 + ... + 88794.

Almost surely, 2^613400400 is an apocalyptic number.

613400400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613400400 is an abundant number, since it is smaller than the sum of its proper divisors (1515281870).

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

613400400 is a wasteful number, since it uses less digits than its factorization.

613400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170413 (or 170399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 613400400 is about 24766.9214881462. The cubic root of 613400400 is about 849.6655662423.

Adding to 613400400 its reverse (4004316), we get a palindrome (617404716).

The spelling of 613400400 in words is "six hundred thirteen million, four hundred thousand, four hundred".