536448000 has 352 divisors, whose sum is σ = 1961975808. Its totient is φ = 129024000.

The previous prime is 536447983. The next prime is 536448041. The reversal of 536448000 is 844635.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223937 + ... + 4224063.

Almost surely, 2^536448000 is an apocalyptic number.

536448000 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 536448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980987904).

536448000 is an abundant number, since it is smaller than the sum of its proper divisors (1425527808).

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

536448000 is a wasteful number, since it uses less digits than its factorization.

536448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 536448000 is about 23161.3471110814. The cubic root of 536448000 is about 812.5358721835.

The spelling of 536448000 in words is "five hundred thirty-six million, four hundred forty-eight thousand".