481652976 has 320 divisors, whose sum is σ = 1612182528. Its totient is φ = 120766464.

The previous prime is 481652971. The next prime is 481652981. The reversal of 481652976 is 679256184.

It is an interprime number because it is at equal distance from previous prime (481652971) and next prime (481652981).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (725760) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481652971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9087766 + ... + 9087818.

Almost surely, 2^481652976 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 481652976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264).

481652976 is an abundant number, since it is smaller than the sum of its proper divisors (1130529552).

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

481652976 is a wasteful number, since it uses less digits than its factorization.

481652976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 481652976 is about 21946.5937220335. The cubic root of 481652976 is about 783.8712738120.

The spelling of 481652976 in words is "four hundred eighty-one million, six hundred fifty-two thousand, nine hundred seventy-six".