536994400 has 144 divisors (see below), whose sum is σ = 1379911680. Its totient is φ = 203788800.

The previous prime is 536994389. The next prime is 536994413. The reversal of 536994400 is 4499635.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463017 + ... + 1463383.

It is an arithmetic number, because the mean of its divisors is an integer number (9582720).

Almost surely, 2^536994400 is an apocalyptic number.

536994400 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 536994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689955840).

536994400 is an abundant number, since it is smaller than the sum of its proper divisors (842917280).

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

536994400 is a wasteful number, since it uses less digits than its factorization.

536994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 536994400 is about 23173.1396232794. The cubic root of 536994400 is about 812.8116484939.

The spelling of 536994400 in words is "five hundred thirty-six million, nine hundred ninety-four thousand, four hundred".