457478280 has 320 divisors, whose sum is σ = 1835792640. Its totient is φ = 99906048.

The previous prime is 457478269. The next prime is 457478293. The reversal of 457478280 is 82874754.

457478280 is a `hidden beast` number, since 4 + 574 + 78 + 2 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521202 + ... + 522078.

It is an arithmetic number, because the mean of its divisors is an integer number (5736852).

Almost surely, 2^457478280 is an apocalyptic number.

457478280 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 457478280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917896320).

457478280 is an abundant number, since it is smaller than the sum of its proper divisors (1378314360).

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

457478280 is a wasteful number, since it uses less digits than its factorization.

457478280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 457478280 is about 21388.7418984848. The cubic root of 457478280 is about 770.5310779384.

The spelling of 457478280 in words is "four hundred fifty-seven million, four hundred seventy-eight thousand, two hundred eighty".