1453347840 has 264 divisors, whose sum is σ = 5410171872. Its totient is φ = 332021760.

The previous prime is 1453347809. The next prime is 1453347871. The reversal of 1453347840 is 487433541.

It is an interprime number because it is at equal distance from previous prime (1453347809) and next prime (1453347871).

It is a super-2 number, since 2×1453347840² = 4224439888065331200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751675 + ... + 753605.

Almost surely, 2^1453347840 is an apocalyptic number.

1453347840 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 1453347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705085936).

1453347840 is an abundant number, since it is smaller than the sum of its proper divisors (3956824032).

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

1453347840 is a wasteful number, since it uses less digits than its factorization.

1453347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1453347840 is about 38122.7994774780. The cubic root of 1453347840 is about 1132.7216199081.

The spelling of 1453347840 in words is "one billion, four hundred fifty-three million, three hundred forty-seven thousand, eight hundred forty".