274896400 has 45 divisors (see below), whose sum is σ = 661236231. Its totient is φ = 109825920.

The previous prime is 274896397. The next prime is 274896469. The reversal of 274896400 is 4698472.

The square root of 274896400 is 16580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 273703936 = 1092^2 + 16544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331186 + ... + 332014.

Almost surely, 2^274896400 is an apocalyptic number.

274896400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

274896400 is the 16580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274896400

274896400 is an abundant number, since it is smaller than the sum of its proper divisors (386339831).

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

274896400 is an frugal number, since it uses more digits than its factorization.

274896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 274896400 is about 650.2140517907.

The spelling of 274896400 in words is "two hundred seventy-four million, eight hundred ninety-six thousand, four hundred".