535546400 has 36 divisors (see below), whose sum is σ = 1307404602. Its totient is φ = 214218240.

The previous prime is 535546391. The next prime is 535546423. The reversal of 535546400 is 4645535.

It can be written as a sum of positive squares in 3 ways, for example, as 501580816 + 33965584 = 22396^2 + 5828^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333917 + ... + 335516.

Almost surely, 2^535546400 is an apocalyptic number.

535546400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535546400 is an abundant number, since it is smaller than the sum of its proper divisors (771858202).

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

535546400 is a wasteful number, since it uses less digits than its factorization.

535546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669453 (or 669440 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 535546400 is about 23141.8754641883. The cubic root of 535546400 is about 812.0804113626.

The spelling of 535546400 in words is "five hundred thirty-five million, five hundred forty-six thousand, four hundred".