1165401504 has 72 divisors (see below), whose sum is σ = 3320117892. Its totient is φ = 387763200.

The previous prime is 1165401473. The next prime is 1165401533. The reversal of 1165401504 is 4051045611.

1165401504 is a `hidden beast` number, since 1 + 1 + 654 + 0 + 1 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 853808400 + 311593104 = 29220^2 + 17652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169722 + ... + 176454.

Almost surely, 2^1165401504 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 1165401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660058946).

1165401504 is an abundant number, since it is smaller than the sum of its proper divisors (2154716388).

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

1165401504 is a wasteful number, since it uses less digits than its factorization.

1165401504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7339 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1165401504 is about 34137.9774444826. The cubic root of 1165401504 is about 1052.3459275751.

The spelling of 1165401504 in words is "one billion, one hundred sixty-five million, four hundred one thousand, five hundred four".