274978368 has 224 divisors, whose sum is σ = 936345600. Its totient is φ = 77511168.

The previous prime is 274978367. The next prime is 274978369. The reversal of 274978368 is 863879472.

274978368 is a `hidden beast` number, since 274 + 9 + 7 + 8 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (274978367) and next prime (274978369).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×274978368² = 151226205735886848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (274978367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536103 + ... + 1536281.

Almost surely, 2^274978368 is an apocalyptic number.

274978368 is a gapful number since it is divisible by the number (28) 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 274978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468172800).

274978368 is an abundant number, since it is smaller than the sum of its proper divisors (661367232).

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

274978368 is a wasteful number, since it uses less digits than its factorization.

274978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 274978368 is about 16582.4717096095. The cubic root of 274978368 is about 650.2786718306.

The spelling of 274978368 in words is "two hundred seventy-four million, nine hundred seventy-eight thousand, three hundred sixty-eight".