442462776 has 128 divisors (see below), whose sum is σ = 1350328320. Its totient is φ = 118065024.

The previous prime is 442462763. The next prime is 442462777. The reversal of 442462776 is 677264244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442462777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164821 + ... + 167483.

It is an arithmetic number, because the mean of its divisors is an integer number (10549440).

Almost surely, 2^442462776 is an apocalyptic number.

442462776 is a gapful number since it is divisible by the number (46) 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 442462776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675164160).

442462776 is an abundant number, since it is smaller than the sum of its proper divisors (907865544).

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

442462776 is a wasteful number, since it uses less digits than its factorization.

442462776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2741 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 442462776 is about 21034.7991670945. The cubic root of 442462776 is about 762.0069163955.

The spelling of 442462776 in words is "four hundred forty-two million, four hundred sixty-two thousand, seven hundred seventy-six".