456012102 has 64 divisors (see below), whose sum is σ = 1125089280. Its totient is φ = 119988864.

The previous prime is 456012083. The next prime is 456012113. The reversal of 456012102 is 201210654.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355899 + ... + 357177.

It is an arithmetic number, because the mean of its divisors is an integer number (17579520).

Almost surely, 2^456012102 is an apocalyptic number.

456012102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562544640).

456012102 is an abundant number, since it is smaller than the sum of its proper divisors (669077178).

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

456012102 is a wasteful number, since it uses less digits than its factorization.

456012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 456012102 is about 21354.4398662199. The cubic root of 456012102 is about 769.7070353414.

Adding to 456012102 its reverse (201210654), we get a palindrome (657222756).

The spelling of 456012102 in words is "four hundred fifty-six million, twelve thousand, one hundred two".