478451760 has 80 divisors (see below), whose sum is σ = 1489163616. Its totient is φ = 127074304.

The previous prime is 478451683. The next prime is 478451777. The reversal of 478451760 is 67154874.

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

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, 57802 + ... + 65558.

Almost surely, 2^478451760 is an apocalyptic number.

478451760 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 478451760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744581808).

478451760 is an abundant number, since it is smaller than the sum of its proper divisors (1010711856).

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

478451760 is a wasteful number, since it uses less digits than its factorization.

478451760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 478451760 is about 21873.5401798611. The cubic root of 478451760 is about 782.1307944656.

The spelling of 478451760 in words is "four hundred seventy-eight million, four hundred fifty-one thousand, seven hundred sixty".