4274265600 has 360 divisors, whose sum is σ = 16691947272. Its totient is φ = 1035878400.

The previous prime is 4274265563. The next prime is 4274265607. The reversal of 4274265600 is 65624724.

4274265600 is a `hidden beast` number, since 4 + 2 + 7 + 42 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274265607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265514 + ... + 1268886.

Almost surely, 2^4274265600 is an apocalyptic number.

4274265600 is a gapful number since it is divisible by the number (40) 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 4274265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345973636).

4274265600 is an abundant number, since it is smaller than the sum of its proper divisors (12417681672).

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

4274265600 is a wasteful number, since it uses less digits than its factorization.

4274265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4274265600 is about 65377.8678147276. The cubic root of 4274265600 is about 1622.8828412439.

The spelling of 4274265600 in words is "four billion, two hundred seventy-four million, two hundred sixty-five thousand, six hundred".