442602468 has 240 divisors, whose sum is σ = 1464591744. Its totient is φ = 113218560.

The previous prime is 442602451. The next prime is 442602481. The reversal of 442602468 is 864206244.

It is a happy number.

442602468 is a `hidden beast` number, since 4 + 4 + 2 + 602 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2819046 + ... + 2819202.

Almost surely, 2^442602468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442602468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732295872).

442602468 is an abundant number, since it is smaller than the sum of its proper divisors (1021989276).

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

442602468 is a wasteful number, since it uses less digits than its factorization.

442602468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 442602468 is about 21038.1194026462. The cubic root of 442602468 is about 762.0871002179.

The spelling of 442602468 in words is "four hundred forty-two million, six hundred two thousand, four hundred sixty-eight".