534758400 has 396 divisors, whose sum is σ = 2098649904. Its totient is φ = 129024000.

The previous prime is 534758377. The next prime is 534758429. The reversal of 534758400 is 4857435.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2534295 + ... + 2534505.

Almost surely, 2^534758400 is an apocalyptic number.

534758400 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 534758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049324952).

534758400 is an abundant number, since it is smaller than the sum of its proper divisors (1563891504).

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

534758400 is a wasteful number, since it uses less digits than its factorization.

534758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 534758400 is about 23124.8437832561. The cubic root of 534758400 is about 811.6819189824.

The spelling of 534758400 in words is "five hundred thirty-four million, seven hundred fifty-eight thousand, four hundred".