63400 has 24 divisors (see below), whose sum is σ = 147870. Its totient is φ = 25280.

The previous prime is 63397. The next prime is 63409. The reversal of 63400 is 436.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 33124 = 174^2 + 182^2 .

It is not an unprimeable number, because it can be changed into a prime (63409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42 + ... + 358.

2⁶³⁴⁰⁰ 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 63400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73935).

63400 is an abundant number, since it is smaller than the sum of its proper divisors (84470).

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

63400 is a wasteful number, since it uses less digits than its factorization.

63400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 63400 is about 251.7935662403. The cubic root of 63400 is about 39.8746073277.

Adding to 63400 its reverse (436), we get a palindrome (63836).

It can be divided in two parts, 63 and 400, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 63400 in words is "sixty-three thousand, four hundred".