63413280 has 288 divisors, whose sum is σ = 257572224. Its totient is φ = 14432256.

The previous prime is 63413267. The next prime is 63413299. The reversal of 63413280 is 8231436.

It is a happy number.

63413280 is a `hidden beast` number, since 634 + 1 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272044 + ... + 272276.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^63413280 is an apocalyptic number.

63413280 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 63413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

63413280 is an abundant number, since it is smaller than the sum of its proper divisors (194158944).

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

63413280 is a wasteful number, since it uses less digits than its factorization.

63413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63413280 is about 7963.2455694899. The cubic root of 63413280 is about 398.7739122788.

The spelling of 63413280 in words is "sixty-three million, four hundred thirteen thousand, two hundred eighty".