481457667 has 8 divisors (see below), whose sum is σ = 642645760. Its totient is φ = 320620680.

The previous prime is 481457659. The next prime is 481457719. The reversal of 481457667 is 766754184.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 481457667 - 2³ = 481457659 is a prime.

It is a super-2 number, since 2×481457667² = 463602970226165778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481457617) 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, 84559 + ... + 90072.

It is an arithmetic number, because the mean of its divisors is an integer number (80330720).

Almost surely, 2^481457667 is an apocalyptic number.

481457667 is a deficient number, since it is larger than the sum of its proper divisors (161188093).

481457667 is a wasteful number, since it uses less digits than its factorization.

481457667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175553.

The product of its digits is 1128960, while the sum is 48.

The square root of 481457667 is about 21942.1436281873. The cubic root of 481457667 is about 783.7653069157.

It can be divided in two parts, 4814 and 57667, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 481457667 in words is "four hundred eighty-one million, four hundred fifty-seven thousand, six hundred sixty-seven".