456749280 has 240 divisors, whose sum is σ = 1736580384. Its totient is φ = 112389120.

The previous prime is 456749221. The next prime is 456749281. The reversal of 456749280 is 82947654.

It is a happy number.

456749280 is a `hidden beast` number, since 4 + 567 + 4 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (456749281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167125 + ... + 169835.

Almost surely, 2^456749280 is an apocalyptic number.

456749280 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 456749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868290192).

456749280 is an abundant number, since it is smaller than the sum of its proper divisors (1279831104).

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

456749280 is a wasteful number, since it uses less digits than its factorization.

456749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 456749280 is about 21371.6934284581. The cubic root of 456749280 is about 770.1215752264.

The spelling of 456749280 in words is "four hundred fifty-six million, seven hundred forty-nine thousand, two hundred eighty".