481117824 has 96 divisors (see below), whose sum is σ = 1510367040. Its totient is φ = 145789440.

The previous prime is 481117823. The next prime is 481117849. The reversal of 481117824 is 428711184.

481117824 is a `hidden beast` number, since 481 + 1 + 178 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (481117823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6312 + ... + 31655.

It is an arithmetic number, because the mean of its divisors is an integer number (15732990).

Almost surely, 2^481117824 is an apocalyptic number.

481117824 is a gapful number since it is divisible by the number (44) 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 481117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755183520).

481117824 is an abundant number, since it is smaller than the sum of its proper divisors (1029249216).

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

481117824 is a wasteful number, since it uses less digits than its factorization.

481117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37998 (or 37983 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 481117824 is about 21934.3981909694. The cubic root of 481117824 is about 783.5808532821.

The spelling of 481117824 in words is "four hundred eighty-one million, one hundred seventeen thousand, eight hundred twenty-four".