457224480 has 192 divisors, whose sum is σ = 1616630400. Its totient is φ = 120683520.

The previous prime is 457224437. The next prime is 457224499. The reversal of 457224480 is 84422754.

457224480 is a `hidden beast` number, since 4 + 572 + 2 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×457224480² = 418108450222540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470395 + ... + 471365.

It is an arithmetic number, because the mean of its divisors is an integer number (8419950).

Almost surely, 2^457224480 is an apocalyptic number.

457224480 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 457224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808315200).

457224480 is an abundant number, since it is smaller than the sum of its proper divisors (1159405920).

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

457224480 is a wasteful number, since it uses less digits than its factorization.

457224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 457224480 is about 21382.8080475881. The cubic root of 457224480 is about 770.3885597237.

The spelling of 457224480 in words is "four hundred fifty-seven million, two hundred twenty-four thousand, four hundred eighty".