531441890 has 32 divisors (see below), whose sum is σ = 1103880960. Its totient is φ = 180437184.

The previous prime is 531441863. The next prime is 531441893. The reversal of 531441890 is 98144135.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 531441890.

It is not an unprimeable number, because it can be changed into a prime (531441893) 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, 29645 + ... + 44064.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 2^531441890 is an apocalyptic number.

531441890 is an abundant number, since it is smaller than the sum of its proper divisors (572439070).

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

531441890 is a wasteful number, since it uses less digits than its factorization.

531441890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73826.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 531441890 is about 23053.0234459604. The cubic root of 531441890 is about 810.0004521666. Note that the first 3 decimals are identical.

The spelling of 531441890 in words is "five hundred thirty-one million, four hundred forty-one thousand, eight hundred ninety".