481409136 has 160 divisors (see below), whose sum is σ = 1553233920. Its totient is φ = 141647616.

The previous prime is 481409119. The next prime is 481409141. The reversal of 481409136 is 631904184.

481409136 is a `hidden beast` number, since 481 + 40 + 9 + 136 = 666.

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 481409136.

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, 127305 + ... + 131031.

It is an arithmetic number, because the mean of its divisors is an integer number (9707712).

Almost surely, 2^481409136 is an apocalyptic number.

481409136 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 481409136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776616960).

481409136 is an abundant number, since it is smaller than the sum of its proper divisors (1071824784).

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

481409136 is a wasteful number, since it uses less digits than its factorization.

481409136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 481409136 is about 21941.0377147481. The cubic root of 481409136 is about 783.7389714801.

The spelling of 481409136 in words is "four hundred eighty-one million, four hundred nine thousand, one hundred thirty-six".