486408032 has 48 divisors (see below), whose sum is σ = 1046682000. Its totient is φ = 220669440.

The previous prime is 486408001. The next prime is 486408059. The reversal of 486408032 is 230804684.

It is a super-2 number, since 2×486408032² = 473185547188226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 486407983 and 486408001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248594 + ... + 250542.

It is an arithmetic number, because the mean of its divisors is an integer number (21805875).

Almost surely, 2^486408032 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 486408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523341000).

486408032 is an abundant number, since it is smaller than the sum of its proper divisors (560273968).

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

486408032 is a wasteful number, since it uses less digits than its factorization.

486408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 486408032 is about 22054.6600971314. The cubic root of 486408032 is about 786.4423868280.

The spelling of 486408032 in words is "four hundred eighty-six million, four hundred eight thousand, thirty-two".