481302096 has 240 divisors, whose sum is σ = 1521063360. Its totient is φ = 129454080.

The previous prime is 481302047. The next prime is 481302103. The reversal of 481302096 is 690203184.

It is a super-2 number, since 2×481302096² = 463303415227986432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11193051 + ... + 11193093.

It is an arithmetic number, because the mean of its divisors is an integer number (6337764).

Almost surely, 2^481302096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481302096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760531680).

481302096 is an abundant number, since it is smaller than the sum of its proper divisors (1039761264).

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

481302096 is a wasteful number, since it uses less digits than its factorization.

481302096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 481302096 is about 21938.5983143865. The cubic root of 481302096 is about 783.6808797713.

The spelling of 481302096 in words is "four hundred eighty-one million, three hundred two thousand, ninety-six".