480977664 has 72 divisors (see below), whose sum is σ = 1288578480. Its totient is φ = 159264768.

The previous prime is 480977663. The next prime is 480977729. The reversal of 480977664 is 466779084.

It is a super-3 number, since 3×480977664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480977663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118582 + ... + 122570.

Almost surely, 2^480977664 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 480977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644289240).

480977664 is an abundant number, since it is smaller than the sum of its proper divisors (807600816).

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

480977664 is a wasteful number, since it uses less digits than its factorization.

480977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 480977664 is about 21931.2029765811. The cubic root of 480977664 is about 783.5047545570.

The spelling of 480977664 in words is "four hundred eighty million, nine hundred seventy-seven thousand, six hundred sixty-four".