535030400 has 48 divisors (see below), whose sum is σ = 1321700190. Its totient is φ = 214010880.

The previous prime is 535030399. The next prime is 535030411. The reversal of 535030400 is 4030535.

It can be written as a sum of positive squares in 3 ways, for example, as 431642176 + 103388224 = 20776^2 + 10168^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 80399 + ... + 86798.

Almost surely, 2^535030400 is an apocalyptic number.

535030400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535030400 is an abundant number, since it is smaller than the sum of its proper divisors (786669790).

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

535030400 is a wasteful number, since it uses less digits than its factorization.

535030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167221 (or 167204 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 535030400 is about 23130.7241564115. The cubic root of 535030400 is about 811.8195138666.

Adding to 535030400 its reverse (4030535), we get a palindrome (539060935).

The spelling of 535030400 in words is "five hundred thirty-five million, thirty thousand, four hundred".