63416400 has 120 divisors (see below), whose sum is σ = 208037280. Its totient is φ = 16504320.

The previous prime is 63416377. The next prime is 63416407. The reversal of 63416400 is 461436.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63416407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50986 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (1733644).

Almost surely, 2^63416400 is an apocalyptic number.

63416400 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 63416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104018640).

63416400 is an abundant number, since it is smaller than the sum of its proper divisors (144620880).

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

63416400 is a wasteful number, since it uses less digits than its factorization.

63416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 63416400 is about 7963.4414671045. The cubic root of 63416400 is about 398.7804522034.

Adding to 63416400 its reverse (461436), we get a palindrome (63877836).

The spelling of 63416400 in words is "sixty-three million, four hundred sixteen thousand, four hundred".