456857280 has 672 divisors, whose sum is σ = 1945843200. Its totient is φ = 100362240.

The previous prime is 456857279. The next prime is 456857309. The reversal of 456857280 is 82758654.

456857280 is a `hidden beast` number, since 4 + 568 + 5 + 7 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19863349 + ... + 19863371.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^456857280 is an apocalyptic number.

456857280 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 456857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972921600).

456857280 is an abundant number, since it is smaller than the sum of its proper divisors (1488985920).

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

456857280 is a wasteful number, since it uses less digits than its factorization.

456857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 456857280 is about 21374.2199857679. The cubic root of 456857280 is about 770.1822697760.

The spelling of 456857280 in words is "four hundred fifty-six million, eight hundred fifty-seven thousand, two hundred eighty".