442317480 has 64 divisors (see below), whose sum is σ = 1447588800. Its totient is φ = 107228160.

The previous prime is 442317467. The next prime is 442317487. The reversal of 442317480 is 84713244.

It is a super-2 number, since 2×442317480² = 391289506227100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (442317487) 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, 166225 + ... + 168864.

It is an arithmetic number, because the mean of its divisors is an integer number (22618575).

Almost surely, 2^442317480 is an apocalyptic number.

442317480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442317480 is an abundant number, since it is smaller than the sum of its proper divisors (1005271320).

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

442317480 is a wasteful number, since it uses less digits than its factorization.

442317480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335114 (or 335110 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 442317480 is about 21031.3451780907. The cubic root of 442317480 is about 761.9234979445.

The spelling of 442317480 in words is "four hundred forty-two million, three hundred seventeen thousand, four hundred eighty".