480774840 has 128 divisors (see below), whose sum is σ = 1775208960. Its totient is φ = 101435904.

The previous prime is 480774839. The next prime is 480774881. The reversal of 480774840 is 48477084.

It is a super-3 number, since 3×480774840³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 480774792 and 480774801.

It is a congruent number.

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, 11094 + ... + 32933.

It is an arithmetic number, because the mean of its divisors is an integer number (13868820).

Almost surely, 2^480774840 is an apocalyptic number.

480774840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480774840 is an abundant number, since it is smaller than the sum of its proper divisors (1294434120).

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

480774840 is a wasteful number, since it uses less digits than its factorization.

480774840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44061 (or 44057 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 480774840 is about 21926.5783924442. The cubic root of 480774840 is about 783.3946067456.

The spelling of 480774840 in words is "four hundred eighty million, seven hundred seventy-four thousand, eight hundred forty".