655142400 has 540 divisors, whose sum is σ = 2631925296. Its totient is φ = 155443200.

The previous prime is 655142399. The next prime is 655142407. The reversal of 655142400 is 4241556.

655142400 is a `hidden beast` number, since 655 + 1 + 4 + 2 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655142407) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 13939177 + ... + 13939223.

Almost surely, 2^655142400 is an apocalyptic number.

655142400 is a gapful number since it is divisible by the number (60) 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 655142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315962648).

655142400 is an abundant number, since it is smaller than the sum of its proper divisors (1976782896).

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

655142400 is a wasteful number, since it uses less digits than its factorization.

655142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 655142400 is about 25595.7496471582. The cubic root of 655142400 is about 868.5174910445.

Adding to 655142400 its reverse (4241556), we get a palindrome (659383956).

The spelling of 655142400 in words is "six hundred fifty-five million, one hundred forty-two thousand, four hundred".