481268304 has 280 divisors, whose sum is σ = 1587350784. Its totient is φ = 141134400.

The previous prime is 481268299. The next prime is 481268327. The reversal of 481268304 is 403862184.

481268304 = 34³ + 35³ + ... + 209³.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15524769 + ... + 15524799.

Almost surely, 2^481268304 is an apocalyptic number.

481268304 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 481268304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793675392).

481268304 is an abundant number, since it is smaller than the sum of its proper divisors (1106082480).

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

481268304 is an equidigital number, since it uses as much as digits as its factorization.

481268304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

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

The square root of 481268304 is about 21937.8281513918. The cubic root of 481268304 is about 783.6625387167.

The spelling of 481268304 in words is "four hundred eighty-one million, two hundred sixty-eight thousand, three hundred four".