481667520 has 112 divisors (see below), whose sum is σ = 1538386560. Its totient is φ = 127681536.

The previous prime is 481667519. The next prime is 481667521. The reversal of 481667520 is 25766184.

It is an interprime number because it is at equal distance from previous prime (481667519) and next prime (481667521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481667521) 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, 170439 + ... + 173241.

Almost surely, 2^481667520 is an apocalyptic number.

481667520 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 481667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769193280).

481667520 is an abundant number, since it is smaller than the sum of its proper divisors (1056719040).

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

481667520 is a wasteful number, since it uses less digits than its factorization.

481667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 481667520 is about 21946.9250693577. The cubic root of 481667520 is about 783.8791636619.

The spelling of 481667520 in words is "four hundred eighty-one million, six hundred sixty-seven thousand, five hundred twenty".