486377136 has 420 divisors, whose sum is σ = 1761373872. Its totient is φ = 129330432.

The previous prime is 486377119. The next prime is 486377153. The reversal of 486377136 is 631773684.

486377136 is a `hidden beast` number, since 4 + 8 + 637 + 7 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (486377119) and next prime (486377153).

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

Its product of digits (508032) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 486377091 and 486377100.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13145310 + ... + 13145346.

Almost surely, 2^486377136 is an apocalyptic number.

486377136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486377136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880686936).

486377136 is an abundant number, since it is smaller than the sum of its proper divisors (1274996736).

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

486377136 is a wasteful number, since it uses less digits than its factorization.

486377136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 486377136 is about 22053.9596444720. The cubic root of 486377136 is about 786.4257352126.

The spelling of 486377136 in words is "four hundred eighty-six million, three hundred seventy-seven thousand, one hundred thirty-six".