481074144 has 24 divisors (see below), whose sum is σ = 1262819880. Its totient is φ = 160358016.

The previous prime is 481074133. The next prime is 481074157. The reversal of 481074144 is 441470184.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×481074144³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505499 + ... + 2505690.

It is an arithmetic number, because the mean of its divisors is an integer number (52617495).

Almost surely, 2^481074144 is an apocalyptic number.

It is an amenable number.

481074144 is an abundant number, since it is smaller than the sum of its proper divisors (781745736).

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

481074144 is a wasteful number, since it uses less digits than its factorization.

481074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011202 (or 5011194 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 481074144 is about 21933.4024720288. The cubic root of 481074144 is about 783.5571391690.

The spelling of 481074144 in words is "four hundred eighty-one million, seventy-four thousand, one hundred forty-four".