274793070400 has 126 divisors (see below), whose sum is σ = 706841444582. Its totient is φ = 105137894400.

The previous prime is 274793070397. The next prime is 274793070443. The reversal of 274793070400 is 4070397472.

It can be written as a sum of positive squares in 3 ways, for example, as 85268672064 + 189524398336 = 292008^2 + 435344^2 .

It is a super-2 number, since 2×274793070400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 684070 + ... + 1008730.

Almost surely, 2^274793070400 is an apocalyptic number.

274793070400 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 274793070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353420722291).

274793070400 is an abundant number, since it is smaller than the sum of its proper divisors (432048374182).

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

274793070400 is a wasteful number, since it uses less digits than its factorization.

274793070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324729 (or 324691 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 274793070400 in words is "two hundred seventy-four billion, seven hundred ninety-three million, seventy thousand, four hundred".