632410416 has 320 divisors, whose sum is σ = 2108436480. Its totient is φ = 181958400.

The previous prime is 632410411. The next prime is 632410517. The reversal of 632410416 is 614014236.

632410416 is a `hidden beast` number, since 6 + 3 + 241 + 0 + 416 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 632410416.

It is not an unprimeable number, because it can be changed into a prime (632410411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11932246 + ... + 11932298.

It is an arithmetic number, because the mean of its divisors is an integer number (6588864).

Almost surely, 2^632410416 is an apocalyptic number.

632410416 is a gapful number since it is divisible by the number (66) 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 632410416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054218240).

632410416 is an abundant number, since it is smaller than the sum of its proper divisors (1476026064).

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

632410416 is a wasteful number, since it uses less digits than its factorization.

632410416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

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

The square root of 632410416 is about 25147.7715911371. The cubic root of 632410416 is about 858.3538078211.

The spelling of 632410416 in words is "six hundred thirty-two million, four hundred ten thousand, four hundred sixteen".