481189440 has 448 divisors, whose sum is σ = 1779056640. Its totient is φ = 109486080.

The previous prime is 481189433. The next prime is 481189469. The reversal of 481189440 is 44981184.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13005102 + ... + 13005138.

Almost surely, 2^481189440 is an apocalyptic number.

481189440 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 481189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889528320).

481189440 is an abundant number, since it is smaller than the sum of its proper divisors (1297867200).

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

481189440 is a wasteful number, since it uses less digits than its factorization.

481189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 481189440 is about 21936.0306345519. The cubic root of 481189440 is about 783.6197308983.

The spelling of 481189440 in words is "four hundred eighty-one million, one hundred eighty-nine thousand, four hundred forty".