478757280 has 192 divisors, whose sum is σ = 1559150208. Its totient is φ = 123432960.

The previous prime is 478757267. The next prime is 478757303. The reversal of 478757280 is 82757874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430142 + ... + 2430338.

It is an arithmetic number, because the mean of its divisors is an integer number (8120574).

Almost surely, 2^478757280 is an apocalyptic number.

478757280 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 478757280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779575104).

478757280 is an abundant number, since it is smaller than the sum of its proper divisors (1080392928).

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

478757280 is a wasteful number, since it uses less digits than its factorization.

478757280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 478757280 is about 21880.5228456726. The cubic root of 478757280 is about 782.2972381043.

It can be divided in two parts, 47875 and 7280, that added together give a palindrome (55155).

The spelling of 478757280 in words is "four hundred seventy-eight million, seven hundred fifty-seven thousand, two hundred eighty".