267648480 has 288 divisors, whose sum is σ = 1016372448. Its totient is φ = 63590400.

The previous prime is 267648467. The next prime is 267648481. The reversal of 267648480 is 84846762.

267648480 is a `hidden beast` number, since 26 + 76 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267648481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966102 + ... + 966378.

It is an arithmetic number, because the mean of its divisors is an integer number (3529071).

Almost surely, 2^267648480 is an apocalyptic number.

267648480 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 267648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508186224).

267648480 is an abundant number, since it is smaller than the sum of its proper divisors (748723968).

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

267648480 is a wasteful number, since it uses less digits than its factorization.

267648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 267648480 is about 16359.9657701353. The cubic root of 267648480 is about 644.4485642050.

The spelling of 267648480 in words is "two hundred sixty-seven million, six hundred forty-eight thousand, four hundred eighty".