1457571840 has 192 divisors, whose sum is σ = 4939159680. Its totient is φ = 365690880.

The previous prime is 1457571839. The next prime is 1457571877. The reversal of 1457571840 is 481757541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1457571792 and 1457571801.

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, 520845 + ... + 523635.

It is an arithmetic number, because the mean of its divisors is an integer number (25724790).

Almost surely, 2^1457571840 is an apocalyptic number.

1457571840 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 1457571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469579840).

1457571840 is an abundant number, since it is smaller than the sum of its proper divisors (3481587840).

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

1457571840 is a wasteful number, since it uses less digits than its factorization.

1457571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 1457571840 is about 38178.1592013025. The cubic root of 1457571840 is about 1133.8179365493.

The spelling of 1457571840 in words is "one billion, four hundred fifty-seven million, five hundred seventy-one thousand, eight hundred forty".