465633045 has 48 divisors (see below), whose sum is σ = 844945920. Its totient is φ = 236763648.

The previous prime is 465633029. The next prime is 465633061. The reversal of 465633045 is 540336564.

It is an interprime number because it is at equal distance from previous prime (465633029) and next prime (465633061).

It is not a de Polignac number, because 465633045 - 2⁴ = 465633029 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447636 + ... + 448674.

It is an arithmetic number, because the mean of its divisors is an integer number (17603040).

Almost surely, 2^465633045 is an apocalyptic number.

465633045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465633045 is a deficient number, since it is larger than the sum of its proper divisors (379312875).

465633045 is a wasteful number, since it uses less digits than its factorization.

465633045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 465633045 is about 21578.5320399697. The cubic root of 465633045 is about 775.0824997156.

The spelling of 465633045 in words is "four hundred sixty-five million, six hundred thirty-three thousand, forty-five".