1457020896 has 48 divisors (see below), whose sum is σ = 3832593408. Its totient is φ = 484668800.

The previous prime is 1457020889. The next prime is 1457020897. The reversal of 1457020896 is 6980207541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457020897) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31681 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (79845696).

Almost surely, 2^1457020896 is an apocalyptic number.

1457020896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1457020896 is an abundant number, since it is smaller than the sum of its proper divisors (2375572512).

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

1457020896 is a wasteful number, since it uses less digits than its factorization.

1457020896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31415 (or 31407 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1457020896 is about 38170.9430850221. The cubic root of 1457020896 is about 1133.6750621938.

The spelling of 1457020896 in words is "one billion, four hundred fifty-seven million, twenty thousand, eight hundred ninety-six".