535400448 has 208 divisors, whose sum is σ = 1656023616. Its totient is φ = 152043520.

The previous prime is 535400447. The next prime is 535400483. The reversal of 535400448 is 844004535.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (535400443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297740 + ... + 2297972.

It is an arithmetic number, because the mean of its divisors is an integer number (7961652).

Almost surely, 2^535400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828011808).

535400448 is an abundant number, since it is smaller than the sum of its proper divisors (1120623168).

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

535400448 is a wasteful number, since it uses less digits than its factorization.

535400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 535400448 is about 23138.7218315965. The cubic root of 535400448 is about 812.0066328011.

It can be divided in two parts, 5 and 35400448, that added together give a palindrome (35400453).

The spelling of 535400448 in words is "five hundred thirty-five million, four hundred thousand, four hundred forty-eight".