538035840 has 192 divisors, whose sum is σ = 1922567400. Its totient is φ = 138485760.

The previous prime is 538035829. The next prime is 538035851. The reversal of 538035840 is 48530835.

It is an interprime number because it is at equal distance from previous prime (538035829) and next prime (538035851).

It can be written as a sum of positive squares in 4 ways, for example, as 488586816 + 49449024 = 22104^2 + 7032^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 538035795 and 538035804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165430 + ... + 168650.

Almost surely, 2^538035840 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 538035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961283700).

538035840 is an abundant number, since it is smaller than the sum of its proper divisors (1384531560).

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

538035840 is a wasteful number, since it uses less digits than its factorization.

538035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 538035840 is about 23195.5995826795. The cubic root of 538035840 is about 813.3367613102.

The spelling of 538035840 in words is "five hundred thirty-eight million, thirty-five thousand, eight hundred forty".