465072102 has 96 divisors (see below), whose sum is σ = 1146337920. Its totient is φ = 135024000.

The previous prime is 465072073. The next prime is 465072109. The reversal of 465072102 is 201270564.

465072102 is a `hidden beast` number, since 4 + 650 + 7 + 2 + 1 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465072109) 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 47 ways as a sum of consecutive naturals, for example, 478477 + ... + 479447.

It is an arithmetic number, because the mean of its divisors is an integer number (11941020).

Almost surely, 2^465072102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465072102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573168960).

465072102 is an abundant number, since it is smaller than the sum of its proper divisors (681265818).

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

465072102 is a wasteful number, since it uses less digits than its factorization.

465072102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 465072102 is about 21565.5304131385. The cubic root of 465072102 is about 774.7711301979.

The spelling of 465072102 in words is "four hundred sixty-five million, seventy-two thousand, one hundred two".