1457450496 has 200 divisors, whose sum is σ = 4402713744. Its totient is φ = 479969280.

The previous prime is 1457450483. The next prime is 1457450507. The reversal of 1457450496 is 6940547541.

1457450496 is a `hidden beast` number, since 1 + 4 + 57 + 4 + 504 + 96 = 666.

1457450496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4686181 + ... + 4686491.

Almost surely, 2^1457450496 is an apocalyptic number.

1457450496 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 1457450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201356872).

1457450496 is an abundant number, since it is smaller than the sum of its proper divisors (2945263248).

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

1457450496 is an equidigital number, since it uses as much as digits as its factorization.

1457450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1457450496 is about 38176.5699873627. The cubic root of 1457450496 is about 1133.7864719317.

The spelling of 1457450496 in words is "one billion, four hundred fifty-seven million, four hundred fifty thousand, four hundred ninety-six".