635478480 has 640 divisors, whose sum is σ = 2789821440. Its totient is φ = 129392640.

The previous prime is 635478443. The next prime is 635478527. The reversal of 635478480 is 84874536.

635478480 is a `hidden beast` number, since 63 + 547 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×635478480² = 807665797086220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10417650 + ... + 10417710.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2^635478480 is an apocalyptic number.

635478480 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 635478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394910720).

635478480 is an abundant number, since it is smaller than the sum of its proper divisors (2154342960).

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

635478480 is a wasteful number, since it uses less digits than its factorization.

635478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 635478480 is about 25208.6984987325. The cubic root of 635478480 is about 859.7396363446.

It can be divided in two parts, 63547 and 8480, that added together give a palindrome (72027).

The spelling of 635478480 in words is "six hundred thirty-five million, four hundred seventy-eight thousand, four hundred eighty".