481624416 has 576 divisors, whose sum is σ = 1902071808. Its totient is φ = 111919104.

The previous prime is 481624411. The next prime is 481624447. The reversal of 481624416 is 614426184.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481624411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10247305 + ... + 10247351.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^481624416 is an apocalyptic number.

481624416 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 481624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

481624416 is an abundant number, since it is smaller than the sum of its proper divisors (1420447392).

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

481624416 is a wasteful number, since it uses less digits than its factorization.

481624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 481624416 is about 21945.9430419383. The cubic root of 481624416 is about 783.8557800802.

The spelling of 481624416 in words is "four hundred eighty-one million, six hundred twenty-four thousand, four hundred sixteen".