481401648 has 240 divisors, whose sum is σ = 1756512576. Its totient is φ = 119439360.

The previous prime is 481401629. The next prime is 481401671. The reversal of 481401648 is 846104184.

481401648 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 0 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221688 + ... + 223848.

Almost surely, 2^481401648 is an apocalyptic number.

481401648 is a gapful number since it is divisible by the number (48) 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 481401648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878256288).

481401648 is an abundant number, since it is smaller than the sum of its proper divisors (1275110928).

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

481401648 is a wasteful number, since it uses less digits than its factorization.

481401648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 481401648 is about 21940.8670749358. The cubic root of 481401648 is about 783.7349079456.

The spelling of 481401648 in words is "four hundred eighty-one million, four hundred one thousand, six hundred forty-eight".