632404080 has 720 divisors, whose sum is σ = 2871191232. Its totient is φ = 121651200.

The previous prime is 632404057. The next prime is 632404099. The reversal of 632404080 is 80404236.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10367250 + ... + 10367310.

Almost surely, 2^632404080 is an apocalyptic number.

632404080 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 632404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435595616).

632404080 is an abundant number, since it is smaller than the sum of its proper divisors (2238787152).

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

632404080 is a wasteful number, since it uses less digits than its factorization.

632404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 632404080 is about 25147.6456154448. The cubic root of 632404080 is about 858.3509412502.

The spelling of 632404080 in words is "six hundred thirty-two million, four hundred four thousand, eighty".