535271400 has 144 divisors (see below), whose sum is σ = 1841718060. Its totient is φ = 139238400.

The previous prime is 535271381. The next prime is 535271413. The reversal of 535271400 is 4172535.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 114447204 + 420824196 = 10698^2 + 20514^2 .

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, 70174 + ... + 77426.

Almost surely, 2^535271400 is an apocalyptic number.

535271400 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 535271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920859030).

535271400 is an abundant number, since it is smaller than the sum of its proper divisors (1306446660).

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

535271400 is a wasteful number, since it uses less digits than its factorization.

535271400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 535271400 is about 23135.9330911896. The cubic root of 535271400 is about 811.9413880219.

The spelling of 535271400 in words is "five hundred thirty-five million, two hundred seventy-one thousand, four hundred".