1457326080 has 480 divisors, whose sum is σ = 5993507520. Its totient is φ = 331776000.

The previous prime is 1457325959. The next prime is 1457326093. The reversal of 1457326080 is 806237541.

1457326080 is a `hidden beast` number, since 1 + 4 + 573 + 2 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805955 + ... + 5806205.

It is an arithmetic number, because the mean of its divisors is an integer number (12486474).

Almost surely, 2^1457326080 is an apocalyptic number.

1457326080 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 1457326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996753760).

1457326080 is an abundant number, since it is smaller than the sum of its proper divisors (4536181440).

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

1457326080 is an equidigital number, since it uses as much as digits as its factorization.

1457326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1457326080 is about 38174.9404714664. The cubic root of 1457326080 is about 1133.7542089281.

The spelling of 1457326080 in words is "one billion, four hundred fifty-seven million, three hundred twenty-six thousand, eighty".