538752000 has 352 divisors, whose sum is σ = 1900664064. Its totient is φ = 135168000.

The previous prime is 538751989. The next prime is 538752017. The reversal of 538752000 is 257835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8831970 + ... + 8832030.

Almost surely, 2^538752000 is an apocalyptic number.

538752000 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 538752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950332032).

538752000 is an abundant number, since it is smaller than the sum of its proper divisors (1361912064).

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

538752000 is a wasteful number, since it uses less digits than its factorization.

538752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 538752000 is about 23211.0318598722. The cubic root of 538752000 is about 813.6974690076.

The spelling of 538752000 in words is "five hundred thirty-eight million, seven hundred fifty-two thousand".