456295680 has 288 divisors, whose sum is σ = 1649262720. Its totient is φ = 120932352.

The previous prime is 456295673. The next prime is 456295681. The reversal of 456295680 is 86592654.

456295680 is a `hidden beast` number, since 4 + 562 + 9 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (456295681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799279 + ... + 2799441.

Almost surely, 2^456295680 is an apocalyptic number.

456295680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824631360).

456295680 is an abundant number, since it is smaller than the sum of its proper divisors (1192967040).

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

456295680 is an frugal number, since it uses more digits than its factorization.

456295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 456295680 is about 21361.0786244515. The cubic root of 456295680 is about 769.8665535875.

The spelling of 456295680 in words is "four hundred fifty-six million, two hundred ninety-five thousand, six hundred eighty".