63430400 has 216 divisors, whose sum is σ = 184769424. Its totient is φ = 21299200.

The previous prime is 63430399. The next prime is 63430421. The reversal of 63430400 is 403436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196774 + ... + 1196826.

It is an arithmetic number, because the mean of its divisors is an integer number (855414).

Almost surely, 2^63430400 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 63430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92384712).

63430400 is an abundant number, since it is smaller than the sum of its proper divisors (121339024).

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

63430400 is a wasteful number, since it uses less digits than its factorization.

63430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 63430400 is about 7964.3204355425. The cubic root of 63430400 is about 398.8097953783.

Adding to 63430400 its reverse (403436), we get a palindrome (63833836).

The spelling of 63430400 in words is "sixty-three million, four hundred thirty thousand, four hundred".