442729480 has 64 divisors (see below), whose sum is σ = 1029898800. Its totient is φ = 171171840.

The previous prime is 442729477. The next prime is 442729489. The reversal of 442729480 is 84927244.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 442092676 = 798^2 + 21026^2 .

It is a super-2 number, since 2×442729480² = 392018784922140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (442729489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184126 + ... + 186514.

Almost surely, 2^442729480 is an apocalyptic number.

442729480 is a gapful number since it is divisible by the number (40) 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 442729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514949400).

442729480 is an abundant number, since it is smaller than the sum of its proper divisors (587169320).

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

442729480 is a wasteful number, since it uses less digits than its factorization.

442729480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 442729480 is about 21041.1378019346. The cubic root of 442729480 is about 762.1599910220.

The spelling of 442729480 in words is "four hundred forty-two million, seven hundred twenty-nine thousand, four hundred eighty".