63398400 has 240 divisors, whose sum is σ = 227318784. Its totient is φ = 15482880.

The previous prime is 63398371. The next prime is 63398417. The reversal of 63398400 is 489336.

It is a tau number, because it is divible by the number of its divisors (240).

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, 499137 + ... + 499263.

Almost surely, 2^63398400 is an apocalyptic number.

63398400 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 63398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113659392).

63398400 is an abundant number, since it is smaller than the sum of its proper divisors (163920384).

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

63398400 is a wasteful number, since it uses less digits than its factorization.

63398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63398400 is about 7962.3112222520. The cubic root of 63398400 is about 398.7427189179.

The spelling of 63398400 in words is "sixty-three million, three hundred ninety-eight thousand, four hundred".