535401000 has 384 divisors, whose sum is σ = 1985817600. Its totient is φ = 129600000.

The previous prime is 535400977. The next prime is 535401011. The reversal of 535401000 is 104535.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5300950 + ... + 5301050.

It is an arithmetic number, because the mean of its divisors is an integer number (5171400).

Almost surely, 2^535401000 is an apocalyptic number.

535401000 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 535401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992908800).

535401000 is an abundant number, since it is smaller than the sum of its proper divisors (1450416600).

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

535401000 is a wasteful number, since it uses less digits than its factorization.

535401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 535401000 is about 23138.7337596507. The cubic root of 535401000 is about 812.0069118617.

Adding to 535401000 its reverse (104535), we get a palindrome (535505535).

The spelling of 535401000 in words is "five hundred thirty-five million, four hundred one thousand".