480978360 has 96 divisors (see below), whose sum is σ = 1582111440. Its totient is φ = 126707712.

The previous prime is 480978341. The next prime is 480978371. The reversal of 480978360 is 63879084.

It is a happy number.

480978360 is a `hidden beast` number, since 480 + 97 + 83 + 6 + 0 = 666.

It is a super-3 number, since 3×480978360³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21832 + ... + 37928.

Almost surely, 2^480978360 is an apocalyptic number.

480978360 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 480978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791055720).

480978360 is an abundant number, since it is smaller than the sum of its proper divisors (1101133080).

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

480978360 is a wasteful number, since it uses less digits than its factorization.

480978360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 480978360 is about 21931.2188443780. The cubic root of 480978360 is about 783.5051324811.

The spelling of 480978360 in words is "four hundred eighty million, nine hundred seventy-eight thousand, three hundred sixty".