536132400 has 240 divisors, whose sum is σ = 1865693088. Its totient is φ = 131072000.

The previous prime is 536132371. The next prime is 536132411. The reversal of 536132400 is 4231635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836080 + ... + 836720.

Almost surely, 2^536132400 is an apocalyptic number.

536132400 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 536132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932846544).

536132400 is an abundant number, since it is smaller than the sum of its proper divisors (1329560688).

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

536132400 is a wasteful number, since it uses less digits than its factorization.

536132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 536132400 is about 23154.5330335120. The cubic root of 536132400 is about 812.3764987828.

The spelling of 536132400 in words is "five hundred thirty-six million, one hundred thirty-two thousand, four hundred".