480674880 has 336 divisors, whose sum is σ = 1915265664. Its totient is φ = 108380160.

The previous prime is 480674879. The next prime is 480674891. The reversal of 480674880 is 88476084.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×480674880³ (a number of 27 digits) contains 333 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277975 + ... + 2278185.

Almost surely, 2^480674880 is an apocalyptic number.

480674880 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 480674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957632832).

480674880 is an abundant number, since it is smaller than the sum of its proper divisors (1434590784).

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

480674880 is a wasteful number, since it uses less digits than its factorization.

480674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 480674880 is about 21924.2988485379. The cubic root of 480674880 is about 783.3403099826.

The spelling of 480674880 in words is "four hundred eighty million, six hundred seventy-four thousand, eight hundred eighty".