63254400 has 192 divisors, whose sum is σ = 227664000. Its totient is φ = 15308800.

The previous prime is 63254369. The next prime is 63254413. The reversal of 63254400 is 445236.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×63254400² = 8002238238720000, which contains 22 as substring.

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

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, 105301 + ... + 105899.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^63254400 is an apocalyptic number.

63254400 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 63254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

63254400 is an abundant number, since it is smaller than the sum of its proper divisors (164409600).

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

63254400 is a wasteful number, since it uses less digits than its factorization.

63254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 63254400 is about 7953.2634811126. The cubic root of 63254400 is about 398.4405952086.

Adding to 63254400 its reverse (445236), we get a palindrome (63699636).

The spelling of 63254400 in words is "sixty-three million, two hundred fifty-four thousand, four hundred".