481126464 has 336 divisors, whose sum is σ = 1735214208. Its totient is φ = 124084224.

The previous prime is 481126447. The next prime is 481126507. The reversal of 481126464 is 464621184.

It is a happy number.

481126464 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×481126464² = 462965348722286592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3511804 + ... + 3511940.

It is an arithmetic number, because the mean of its divisors is an integer number (5164328).

Almost surely, 2^481126464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867607104).

481126464 is an abundant number, since it is smaller than the sum of its proper divisors (1254087744).

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

481126464 is a wasteful number, since it uses less digits than its factorization.

481126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 481126464 is about 21934.5951410096. The cubic root of 481126464 is about 783.5855438158.

The spelling of 481126464 in words is "four hundred eighty-one million, one hundred twenty-six thousand, four hundred sixty-four".