457429954560 has 624 divisors, whose sum is σ = 1549956325632. Its totient is φ = 115110051840.

The previous prime is 457429954559. The next prime is 457429954571. The reversal of 457429954560 is 65459924754.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 457429954494 and 457429954503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4441067469 + ... + 4441067571.

It is an arithmetic number, because the mean of its divisors is an integer number (2483904368).

Almost surely, 2^457429954560 is an apocalyptic number.

457429954560 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 457429954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774978162816).

457429954560 is an abundant number, since it is smaller than the sum of its proper divisors (1092526371072).

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

457429954560 is a wasteful number, since it uses less digits than its factorization.

457429954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 457429954560 in words is "four hundred fifty-seven billion, four hundred twenty-nine million, nine hundred fifty-four thousand, five hundred sixty".