457728480 has 432 divisors, whose sum is σ = 1788145632. Its totient is φ = 106444800.

The previous prime is 457728473. The next prime is 457728499. The reversal of 457728480 is 84827754.

It is a super-2 number, since 2×457728480² = 419030722806220800, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6446845 + ... + 6446915.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 2^457728480 is an apocalyptic number.

457728480 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 457728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894072816).

457728480 is an abundant number, since it is smaller than the sum of its proper divisors (1330417152).

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

457728480 is a wasteful number, since it uses less digits than its factorization.

457728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

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

The square root of 457728480 is about 21394.5899703640. The cubic root of 457728480 is about 770.6715230328.

The spelling of 457728480 in words is "four hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred eighty".