536033400 has 384 divisors, whose sum is σ = 2057011200. Its totient is φ = 112780800.

The previous prime is 536033387. The next prime is 536033429. The reversal of 536033400 is 4330635.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2994511 + ... + 2994689.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^536033400 is an apocalyptic number.

536033400 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 536033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028505600).

536033400 is an abundant number, since it is smaller than the sum of its proper divisors (1520977800).

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

536033400 is a wasteful number, since it uses less digits than its factorization.

536033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 536033400 is about 23152.3951244790. The cubic root of 536033400 is about 812.3264923390.

The spelling of 536033400 in words is "five hundred thirty-six million, thirty-three thousand, four hundred".