1004536441 has 16 divisors (see below), whose sum is σ = 1066348800. Its totient is φ = 943660800.

The previous prime is 1004536417. The next prime is 1004536447. The reversal of 1004536441 is 1446354001.

It is a cyclic number.

It is not a de Polignac number, because 1004536441 - 2¹⁵ = 1004503673 is a prime.

It is a super-2 number, since 2×1004536441² = 2018186922593892962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004536447) 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, 1973295 + ... + 1973803.

It is an arithmetic number, because the mean of its divisors is an integer number (66646800).

Almost surely, 2^1004536441 is an apocalyptic number.

It is an amenable number.

1004536441 is a deficient number, since it is larger than the sum of its proper divisors (61812359).

1004536441 is a wasteful number, since it uses less digits than its factorization.

1004536441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1004536441 is about 31694.4228690159. The cubic root of 1004536441 is about 1001.5098661568.

The spelling of 1004536441 in words is "one billion, four million, five hundred thirty-six thousand, four hundred forty-one".