456428280 has 256 divisors, whose sum is σ = 1745141760. Its totient is φ = 92736000.

The previous prime is 456428251. The next prime is 456428281. The reversal of 456428280 is 82824654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456428281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433755 + ... + 434805.

It is an arithmetic number, because the mean of its divisors is an integer number (6816960).

Almost surely, 2^456428280 is an apocalyptic number.

456428280 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 456428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872570880).

456428280 is an abundant number, since it is smaller than the sum of its proper divisors (1288713480).

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

456428280 is a wasteful number, since it uses less digits than its factorization.

456428280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 456428280 is about 21364.1821748458. The cubic root of 456428280 is about 769.9411210390.

The spelling of 456428280 in words is "four hundred fifty-six million, four hundred twenty-eight thousand, two hundred eighty".