1457576016 has 80 divisors (see below), whose sum is σ = 4060365120. Its totient is φ = 447897600.

The previous prime is 1457575993. The next prime is 1457576027. The reversal of 1457576016 is 6106757541.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 909616 + ... + 911216.

It is an arithmetic number, because the mean of its divisors is an integer number (50754564).

Almost surely, 2^1457576016 is an apocalyptic number.

1457576016 is a gapful number since it is divisible by the number (16) 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 1457576016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030182560).

1457576016 is an abundant number, since it is smaller than the sum of its proper divisors (2602789104).

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

1457576016 is a wasteful number, since it uses less digits than its factorization.

1457576016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 1457576016 is about 38178.2138922187. The cubic root of 1457576016 is about 1133.8190193591.

The spelling of 1457576016 in words is "one billion, four hundred fifty-seven million, five hundred seventy-six thousand, sixteen".