440616480 has 48 divisors (see below), whose sum is σ = 1387943424. Its totient is φ = 117497600.

The previous prime is 440616469. The next prime is 440616487. The reversal of 440616480 is 84616044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×440616480³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (440616487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458496 + ... + 459455.

It is an arithmetic number, because the mean of its divisors is an integer number (28915488).

Almost surely, 2^440616480 is an apocalyptic number.

440616480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440616480 is an abundant number, since it is smaller than the sum of its proper divisors (947326944).

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

440616480 is a wasteful number, since it uses less digits than its factorization.

440616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917969 (or 917961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 440616480 is about 20990.8665852556. The cubic root of 440616480 is about 760.9455451914.

The spelling of 440616480 in words is "four hundred forty million, six hundred sixteen thousand, four hundred eighty".