481021632 has 672 divisors, whose sum is σ = 1945843200. Its totient is φ = 114960384.

The previous prime is 481021627. The next prime is 481021643. The reversal of 481021632 is 236120184.

481021632 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 21 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×481021632³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 481021596 and 481021605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20913973 + ... + 20913995.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^481021632 is an apocalyptic number.

481021632 is a gapful number since it is divisible by the number (42) 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 481021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972921600).

481021632 is an abundant number, since it is smaller than the sum of its proper divisors (1464821568).

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

481021632 is a wasteful number, since it uses less digits than its factorization.

481021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 481021632 is about 21932.2053610666. The cubic root of 481021632 is about 783.5286282141.

The spelling of 481021632 in words is "four hundred eighty-one million, twenty-one thousand, six hundred thirty-two".