456298290 has 144 divisors (see below), whose sum is σ = 1394407872. Its totient is φ = 103215168.

The previous prime is 456298259. The next prime is 456298291. The reversal of 456298290 is 92892654.

456298290 is a `hidden beast` number, since 4 + 562 + 9 + 82 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456298291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471387 + ... + 472353.

It is an arithmetic number, because the mean of its divisors is an integer number (9683388).

Almost surely, 2^456298290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456298290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697203936).

456298290 is an abundant number, since it is smaller than the sum of its proper divisors (938109582).

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

456298290 is a wasteful number, since it uses less digits than its factorization.

456298290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 456298290 is about 21361.1397167848. The cubic root of 456298290 is about 769.8680214572.

The spelling of 456298290 in words is "four hundred fifty-six million, two hundred ninety-eight thousand, two hundred ninety".