481062456 has 128 divisors (see below), whose sum is σ = 1568640000. Its totient is φ = 133716096.

The previous prime is 481062391. The next prime is 481062467. The reversal of 481062456 is 654260184.

It is a super-3 number, since 3×481062456³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 481062456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51645 + ... + 60243.

It is an arithmetic number, because the mean of its divisors is an integer number (12255000).

Almost surely, 2^481062456 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 481062456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784320000).

481062456 is an abundant number, since it is smaller than the sum of its proper divisors (1087577544).

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

481062456 is a wasteful number, since it uses less digits than its factorization.

481062456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 481062456 is about 21933.1360274813. The cubic root of 481062456 is about 783.5507934458.

The spelling of 481062456 in words is "four hundred eighty-one million, sixty-two thousand, four hundred fifty-six".