465361281 has 216 divisors, whose sum is σ = 993414240. Its totient is φ = 215550720.

The previous prime is 465361249. The next prime is 465361291. The reversal of 465361281 is 182163564.

It is a happy number.

465361281 is a `hidden beast` number, since 46 + 536 + 1 + 2 + 81 = 666.

It is not a de Polignac number, because 465361281 - 2⁵ = 465361249 is a prime.

It is a super-2 number, since 2×465361281² = 433122243707921922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465361291) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24492690 + ... + 24492708.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^465361281 is an apocalyptic number.

It is an amenable number.

465361281 is an abundant number, since it is smaller than the sum of its proper divisors (528052959).

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

465361281 is a wasteful number, since it uses less digits than its factorization.

465361281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 465361281 is about 21572.2340289549. The cubic root of 465361281 is about 774.9316795826.

The spelling of 465361281 in words is "four hundred sixty-five million, three hundred sixty-one thousand, two hundred eighty-one".