1458552480 has 768 divisors, whose sum is σ = 6317015040. Its totient is φ = 273715200.

The previous prime is 1458552479. The next prime is 1458552523. The reversal of 1458552480 is 842558541.

It is a Cunningham number, because it is equal to 38191²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21769407 + ... + 21769473.

It is an arithmetic number, because the mean of its divisors is an integer number (8225280).

Almost surely, 2^1458552480 is an apocalyptic number.

1458552480 is a gapful number since it is divisible by the number (10) 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 1458552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158507520).

1458552480 is an abundant number, since it is smaller than the sum of its proper divisors (4858462560).

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

1458552480 is a wasteful number, since it uses less digits than its factorization.

1458552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The square root of 1458552480 is about 38190.9999869079. Note that the first 4 decimals coincide. The cubic root of 1458552480 is about 1134.0721533988.

The spelling of 1458552480 in words is "one billion, four hundred fifty-eight million, five hundred fifty-two thousand, four hundred eighty".