538756400 has 360 divisors, whose sum is σ = 1722327264. Its totient is φ = 157593600.

The previous prime is 538756369. The next prime is 538756411. The reversal of 538756400 is 4657835.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13140380 + ... + 13140420.

Almost surely, 2^538756400 is an apocalyptic number.

538756400 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 538756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861163632).

538756400 is an abundant number, since it is smaller than the sum of its proper divisors (1183570864).

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

538756400 is a wasteful number, since it uses less digits than its factorization.

538756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 538756400 is about 23211.1266421947. The cubic root of 538756400 is about 813.6996841635.

It can be divided in two parts, 538756 and 400, that multiplied together give a square (215502400 = 14680²).

The spelling of 538756400 in words is "five hundred thirty-eight million, seven hundred fifty-six thousand, four hundred".