274468400 has 120 divisors (see below), whose sum is σ = 705204864. Its totient is φ = 102297600.

The previous prime is 274468379. The next prime is 274468421. The reversal of 274468400 is 4864472.

274468400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (274468379) and next prime (274468421).

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, 1230689 + ... + 1230911.

Almost surely, 2^274468400 is an apocalyptic number.

274468400 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 274468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

274468400 is an abundant number, since it is smaller than the sum of its proper divisors (430736464).

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

274468400 is a wasteful number, since it uses less digits than its factorization.

274468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 274468400 is about 16567.0878551422. The cubic root of 274468400 is about 649.8764262126.

The spelling of 274468400 in words is "two hundred seventy-four million, four hundred sixty-eight thousand, four hundred".