5402606400 has 252 divisors, whose sum is σ = 19530669600. Its totient is φ = 1416053760.

The previous prime is 5402606351. The next prime is 5402606423. The reversal of 5402606400 is 46062045.

It is a happy number.

5402606400 is a `hidden beast` number, since 54 + 0 + 2 + 606 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 846421 + ... + 852779.

Almost surely, 2^5402606400 is an apocalyptic number.

5402606400 is a gapful number since it is divisible by the number (50) 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 5402606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765334800).

5402606400 is an abundant number, since it is smaller than the sum of its proper divisors (14128063200).

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

5402606400 is a wasteful number, since it uses less digits than its factorization.

5402606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5402606400 is about 73502.4244498098. The cubic root of 5402606400 is about 1754.6928627056.

Adding to 5402606400 its reverse (46062045), we get a palindrome (5448668445).

The spelling of 5402606400 in words is "five billion, four hundred two million, six hundred six thousand, four hundred".