63414000 has 240 divisors, whose sum is σ = 239401344. Its totient is φ = 15552000.

The previous prime is 63413969. The next prime is 63414007. The reversal of 63414000 is 41436.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63414007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233865 + ... + 234135.

Almost surely, 2^63414000 is an apocalyptic number.

63414000 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 63414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119700672).

63414000 is an abundant number, since it is smaller than the sum of its proper divisors (175987344).

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

63414000 is a wasteful number, since it uses less digits than its factorization.

63414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 63414000 is about 7963.2907770594. The cubic root of 63414000 is about 398.7754215112.

Adding to 63414000 its reverse (41436), we get a palindrome (63455436).

The spelling of 63414000 in words is "sixty-three million, four hundred fourteen thousand".