273064464 has 120 divisors (see below), whose sum is σ = 825215040. Its totient is φ = 84032256.

The previous prime is 273064459. The next prime is 273064471. The reversal of 273064464 is 464460372.

273064464 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 644 + 6 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 94627 + ... + 97469.

It is an arithmetic number, because the mean of its divisors is an integer number (6876792).

Almost surely, 2^273064464 is an apocalyptic number.

273064464 is a gapful number since it is divisible by the number (24) 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 273064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412607520).

273064464 is an abundant number, since it is smaller than the sum of its proper divisors (552150576).

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

273064464 is a wasteful number, since it uses less digits than its factorization.

273064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 273064464 is about 16524.6622960955. The cubic root of 273064464 is about 648.7664684471.

The spelling of 273064464 in words is "two hundred seventy-three million, sixty-four thousand, four hundred sixty-four".