481069680 has 160 divisors (see below), whose sum is σ = 1835549184. Its totient is φ = 101495808.

The previous prime is 481069669. The next prime is 481069691. The reversal of 481069680 is 86960184.

It is an interprime number because it is at equal distance from previous prime (481069669) and next prime (481069691).

It is a super-3 number, since 3×481069680³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10827 + ... + 32853.

Almost surely, 2^481069680 is an apocalyptic number.

481069680 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 481069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917774592).

481069680 is an abundant number, since it is smaller than the sum of its proper divisors (1354479504).

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

481069680 is a wasteful number, since it uses less digits than its factorization.

481069680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22063 (or 22057 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 481069680 is about 21933.3007091956. The cubic root of 481069680 is about 783.5547155579.

The spelling of 481069680 in words is "four hundred eighty-one million, sixty-nine thousand, six hundred eighty".