535361400 has 240 divisors, whose sum is σ = 2125466640. Its totient is φ = 122342400.

The previous prime is 535361389. The next prime is 535361417. The reversal of 535361400 is 4163535.

It is a super-2 number, since 2×535361400² = 573223657219920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 111040 + ... + 115760.

It is an arithmetic number, because the mean of its divisors is an integer number (8856111).

Almost surely, 2^535361400 is an apocalyptic number.

535361400 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 535361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062733320).

535361400 is an abundant number, since it is smaller than the sum of its proper divisors (1590105240).

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

535361400 is a wasteful number, since it uses less digits than its factorization.

535361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 535361400 is about 23137.8780358096. The cubic root of 535361400 is about 811.9868918104.

The spelling of 535361400 in words is "five hundred thirty-five million, three hundred sixty-one thousand, four hundred".