1453491456 has 144 divisors (see below), whose sum is σ = 3966177600. Its totient is φ = 472449024.

The previous prime is 1453491439. The next prime is 1453491493. The reversal of 1453491456 is 6541943541.

It is a happy number.

It is a super-2 number, since 2×1453491456² = 4225274825329999872, which contains 22 as substring.

It is a congruent number.

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, 8119975 + ... + 8120153.

It is an arithmetic number, because the mean of its divisors is an integer number (27542900).

Almost surely, 2^1453491456 is an apocalyptic number.

1453491456 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 1453491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983088800).

1453491456 is an abundant number, since it is smaller than the sum of its proper divisors (2512686144).

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

1453491456 is a wasteful number, since it uses less digits than its factorization.

1453491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1453491456 is about 38124.6830281905. The cubic root of 1453491456 is about 1132.7589295334.

The spelling of 1453491456 in words is "one billion, four hundred fifty-three million, four hundred ninety-one thousand, four hundred fifty-six".