481478640 has 80 divisors (see below), whose sum is σ = 1497264288. Its totient is φ = 127991808.

The previous prime is 481478633. The next prime is 481478653. The reversal of 481478640 is 46874184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 481478592 and 481478601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77904 + ... + 83856.

Almost surely, 2^481478640 is an apocalyptic number.

481478640 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 481478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748632144).

481478640 is an abundant number, since it is smaller than the sum of its proper divisors (1015785648).

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

481478640 is a wasteful number, since it uses less digits than its factorization.

481478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 481478640 is about 21942.6215389137. The cubic root of 481478640 is about 783.7766874048.

The spelling of 481478640 in words is "four hundred eighty-one million, four hundred seventy-eight thousand, six hundred forty".