63150400 has 84 divisors (see below), whose sum is σ = 160865820. Its totient is φ = 24371200.

The previous prime is 63150397. The next prime is 63150407. The reversal of 63150400 is 405136.

It can be written as a sum of positive squares in 6 ways, for example, as 5875776 + 57274624 = 2424^2 + 7568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63150407) 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 11 ways as a sum of consecutive naturals, for example, 45720 + ... + 47080.

Almost surely, 2^63150400 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 63150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432910).

63150400 is an abundant number, since it is smaller than the sum of its proper divisors (97715420).

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

63150400 is a wasteful number, since it uses less digits than its factorization.

63150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 63150400 is about 7946.7225948815. The cubic root of 63150400 is about 398.2221094709. Note that the first 3 decimals are identical.

Adding to 63150400 its reverse (405136), we get a palindrome (63555536).

The spelling of 63150400 in words is "sixty-three million, one hundred fifty thousand, four hundred".