534774240 has 864 divisors, whose sum is σ = 2541049056. Its totient is φ = 100638720.

The previous prime is 534774221. The next prime is 534774259. The reversal of 534774240 is 42477435.

534774240 is a `hidden beast` number, since 5 + 347 + 74 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (534774221) and next prime (534774259).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 534774195 and 534774204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10090054 + ... + 10090106.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029).

Almost surely, 2^534774240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270524528).

534774240 is an abundant number, since it is smaller than the sum of its proper divisors (2006274816).

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

534774240 is a wasteful number, since it uses less digits than its factorization.

534774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 534774240 is about 23125.1862695201. The cubic root of 534774240 is about 811.6899331402.

The spelling of 534774240 in words is "five hundred thirty-four million, seven hundred seventy-four thousand, two hundred forty".