480278160 has 200 divisors, whose sum is σ = 1683358776. Its totient is φ = 126904320.

The previous prime is 480278147. The next prime is 480278173. The reversal of 480278160 is 61872084.

It is an interprime number because it is at equal distance from previous prime (480278147) and next prime (480278173).

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 434472336 = 6768^2 + 20844^2 .

It is a super-2 number, since 2×480278160² = 461334221945971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 887490 + ... + 888030.

Almost surely, 2^480278160 is an apocalyptic number.

480278160 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 480278160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841679388).

480278160 is an abundant number, since it is smaller than the sum of its proper divisors (1203080616).

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

480278160 is a wasteful number, since it uses less digits than its factorization.

480278160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480278160 is about 21915.2494852329. The cubic root of 480278160 is about 783.1247434143.

The spelling of 480278160 in words is "four hundred eighty million, two hundred seventy-eight thousand, one hundred sixty".