465540075 has 288 divisors, whose sum is σ = 1176353280. Its totient is φ = 175219200.

The previous prime is 465540067. The next prime is 465540077. The reversal of 465540075 is 570045564.

It is a happy number.

465540075 is a `hidden beast` number, since 46 + 5 + 540 + 0 + 75 = 666.

It is not a de Polignac number, because 465540075 - 2³ = 465540067 is a prime.

It is a super-2 number, since 2×465540075² = 433455122862011250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465540077) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8783749 + ... + 8783801.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2^465540075 is an apocalyptic number.

465540075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465540075 is an abundant number, since it is smaller than the sum of its proper divisors (710813205).

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

465540075 is a wasteful number, since it uses less digits than its factorization.

465540075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 465540075 is about 21576.3777080399. The cubic root of 465540075 is about 775.0309110113.

The spelling of 465540075 in words is "four hundred sixty-five million, five hundred forty thousand, seventy-five".