534392640 has 280 divisors, whose sum is σ = 1941774120. Its totient is φ = 139456512.

The previous prime is 534392633. The next prime is 534392669. The reversal of 534392640 is 46293435.

534392640 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 9 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 488586816 = 6768^2 + 22104^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 534392595 and 534392604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373566 + ... + 1373954.

Almost surely, 2^534392640 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 534392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970887060).

534392640 is an abundant number, since it is smaller than the sum of its proper divisors (1407381480).

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

534392640 is a wasteful number, since it uses less digits than its factorization.

534392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 534392640 is about 23116.9340527675. The cubic root of 534392640 is about 811.4968207583.

The spelling of 534392640 in words is "five hundred thirty-four million, three hundred ninety-two thousand, six hundred forty".