468152607 has 32 divisors (see below), whose sum is σ = 699596800. Its totient is φ = 276514560.

The previous prime is 468152593. The next prime is 468152611. The reversal of 468152607 is 706251864.

It is not a de Polignac number, because 468152607 - 2⁴ = 468152591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468152627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152019 + ... + 155067.

It is an arithmetic number, because the mean of its divisors is an integer number (21862400).

Almost surely, 2^468152607 is an apocalyptic number.

468152607 is a deficient number, since it is larger than the sum of its proper divisors (231444193).

468152607 is a wasteful number, since it uses less digits than its factorization.

468152607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 468152607 is about 21636.8344958314. The cubic root of 468152607 is about 776.4779881665.

The spelling of 468152607 in words is "four hundred sixty-eight million, one hundred fifty-two thousand, six hundred seven".