478334880 has 144 divisors (see below), whose sum is σ = 1718327520. Its totient is φ = 120835584.

The previous prime is 478334869. The next prime is 478334939. The reversal of 478334880 is 88433874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×478334880² = 457608514849228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18619 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (11932830).

Almost surely, 2^478334880 is an apocalyptic number.

478334880 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 478334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859163760).

478334880 is an abundant number, since it is smaller than the sum of its proper divisors (1239992640).

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

478334880 is a wasteful number, since it uses less digits than its factorization.

478334880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17523 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 478334880 is about 21870.8682955204. The cubic root of 478334880 is about 782.0671009024.

The spelling of 478334880 in words is "four hundred seventy-eight million, three hundred thirty-four thousand, eight hundred eighty".