478797480 has 384 divisors, whose sum is σ = 1912135680. Its totient is φ = 105442560.

The previous prime is 478797461. The next prime is 478797481. The reversal of 478797480 is 84797874.

478797480 is a `hidden beast` number, since 4 + 78 + 7 + 97 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (478797481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109127 + ... + 2109353.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^478797480 is an apocalyptic number.

478797480 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 478797480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956067840).

478797480 is an abundant number, since it is smaller than the sum of its proper divisors (1433338200).

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

478797480 is a wasteful number, since it uses less digits than its factorization.

478797480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 478797480 is about 21881.4414516046. The cubic root of 478797480 is about 782.3191333110.

The spelling of 478797480 in words is "four hundred seventy-eight million, seven hundred ninety-seven thousand, four hundred eighty".