1457456 has 90 divisors (see below), whose sum is σ = 3880332. Its totient is φ = 524160.

The previous prime is 1457437. The next prime is 1457459. The reversal of 1457456 is 6547541.

1457456 = T₁₅₃ + T₁₅₄ + ... + T₂₃₀.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1457459) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112106 + ... + 112118.

2^1457456 is an apocalyptic number.

1457456 is a gapful number since it is divisible by the number (16) 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 1457456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940166).

1457456 is an abundant number, since it is smaller than the sum of its proper divisors (2422876).

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

1457456 is a wasteful number, since it uses less digits than its factorization.

1457456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 1457456 is about 1207.2514236894. The cubic root of 1457456 is about 113.3787899162.

The spelling of 1457456 in words is "one million, four hundred fifty-seven thousand, four hundred fifty-six".