538461000 has 768 divisors, whose sum is σ = 2432851200. Its totient is φ = 108864000.

The previous prime is 538460983. The next prime is 538461023. The reversal of 538461000 is 164835.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14552982 + ... + 14553018.

It is an arithmetic number, because the mean of its divisors is an integer number (3167775).

Almost surely, 2^538461000 is an apocalyptic number.

538461000 is a gapful number since it is divisible by the number (50) 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 538461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216425600).

538461000 is an abundant number, since it is smaller than the sum of its proper divisors (1894390200).

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

538461000 is a wasteful number, since it uses less digits than its factorization.

538461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 538461000 is about 23204.7624422229. The cubic root of 538461000 is about 813.5509398633.

The spelling of 538461000 in words is "five hundred thirty-eight million, four hundred sixty-one thousand".