273649440 has 144 divisors (see below), whose sum is σ = 881943552. Its totient is φ = 71318016.

The previous prime is 273649429. The next prime is 273649451. The reversal of 273649440 is 44946372.

It is an interprime number because it is at equal distance from previous prime (273649429) and next prime (273649451).

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, 2154657 + ... + 2154783.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2^273649440 is an apocalyptic number.

273649440 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 273649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440971776).

273649440 is an abundant number, since it is smaller than the sum of its proper divisors (608294112).

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

273649440 is a wasteful number, since it uses less digits than its factorization.

273649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 273649440 is about 16542.3529160758. The cubic root of 273649440 is about 649.2294142350.

The spelling of 273649440 in words is "two hundred seventy-three million, six hundred forty-nine thousand, four hundred forty".