267028480 has 96 divisors (see below), whose sum is σ = 650122200. Its totient is φ = 105250816.

The previous prime is 267028477. The next prime is 267028501. The reversal of 267028480 is 84820762.

It can be written as a sum of positive squares in 4 ways, for example, as 234947584 + 32080896 = 15328^2 + 5664^2 .

It is a super-2 number, since 2×267028480² = 142608418262220800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911214 + ... + 911506.

Almost surely, 2^267028480 is an apocalyptic number.

267028480 is a gapful number since it is divisible by the number (20) 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 267028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325061100).

267028480 is an abundant number, since it is smaller than the sum of its proper divisors (383093720).

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

267028480 is an equidigital number, since it uses as much as digits as its factorization.

267028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 267028480 is about 16341.0060889775. The cubic root of 267028480 is about 643.9505639559.

The spelling of 267028480 in words is "two hundred sixty-seven million, twenty-eight thousand, four hundred eighty".