481001007 has 8 divisors (see below), whose sum is σ = 641493376. Its totient is φ = 320587992.

The previous prime is 481000957. The next prime is 481001011. The reversal of 481001007 is 700100184.

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

It is not a de Polignac number, because 481001007 - 2¹⁵ = 480968239 is a prime.

It is a super-3 number, since 3×481001007³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481001707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3853 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (80186672).

Almost surely, 2^481001007 is an apocalyptic number.

481001007 is a deficient number, since it is larger than the sum of its proper divisors (160492369).

481001007 is a wasteful number, since it uses less digits than its factorization.

481001007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39677.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 481001007 is about 21931.7351570732. The cubic root of 481001007 is about 783.5174294738.

The spelling of 481001007 in words is "four hundred eighty-one million, one thousand, seven".