481967440 has 20 divisors (see below), whose sum is σ = 1120574484. Its totient is φ = 192786944.

The previous prime is 481967429. The next prime is 481967477. The reversal of 481967440 is 44769184.

It can be written as a sum of positive squares in 2 ways, for example, as 317409856 + 164557584 = 17816^2 + 12828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×481967440² = 464585226440307200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3012217 + ... + 3012376.

Almost surely, 2^481967440 is an apocalyptic number.

481967440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481967440 is an abundant number, since it is smaller than the sum of its proper divisors (638607044).

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

481967440 is a wasteful number, since it uses less digits than its factorization.

481967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024606 (or 6024600 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 481967440 is about 21953.7568538963. The cubic root of 481967440 is about 784.0418292967.

The spelling of 481967440 in words is "four hundred eighty-one million, nine hundred sixty-seven thousand, four hundred forty".