1457938048 has 128 divisors (see below), whose sum is σ = 3446784000. Its totient is φ = 601316352.

The previous prime is 1457938021. The next prime is 1457938061. The reversal of 1457938048 is 8408397541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1457937992 and 1457938010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043473 + ... + 3043951.

It is an arithmetic number, because the mean of its divisors is an integer number (26928000).

Almost surely, 2^1457938048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723392000).

1457938048 is an abundant number, since it is smaller than the sum of its proper divisors (1988845952).

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

1457938048 is an equidigital number, since it uses as much as digits as its factorization.

1457938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 1457938048 is about 38182.9549406538. The cubic root of 1457938048 is about 1133.9128840547.

The spelling of 1457938048 in words is "one billion, four hundred fifty-seven million, nine hundred thirty-eight thousand, forty-eight".