1457086004 has 48 divisors (see below), whose sum is σ = 2808763776. Its totient is φ = 655910400.

The previous prime is 1457085989. The next prime is 1457086067. The reversal of 1457086004 is 4006807541.

It is a Smith number, since the sum of its digits (35) 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3188144 + ... + 3188600.

It is an arithmetic number, because the mean of its divisors is an integer number (58515912).

Almost surely, 2^1457086004 is an apocalyptic number.

It is an amenable number.

1457086004 is a deficient number, since it is larger than the sum of its proper divisors (1351677772).

1457086004 is a wasteful number, since it uses less digits than its factorization.

1457086004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 1457086004 is about 38171.7959231682. The cubic root of 1457086004 is about 1133.6919482972.

The spelling of 1457086004 in words is "one billion, four hundred fifty-seven million, eighty-six thousand, four".