481341440 has 104 divisors (see below), whose sum is σ = 1216854960. Its totient is φ = 182255616.

The previous prime is 481341437. The next prime is 481341499. The reversal of 481341440 is 44143184.

It is a happy number.

It is a super-2 number, since 2×481341440² = 463379163722547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388502 + ... + 389738.

Almost surely, 2^481341440 is an apocalyptic number.

481341440 is a gapful number since it is divisible by the number (40) 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 481341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608427480).

481341440 is an abundant number, since it is smaller than the sum of its proper divisors (735513520).

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

481341440 is a wasteful number, since it uses less digits than its factorization.

481341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 481341440 is about 21939.4949805140. The cubic root of 481341440 is about 783.7022331657.

The spelling of 481341440 in words is "four hundred eighty-one million, three hundred forty-one thousand, four hundred forty".