1453648416 has 192 divisors, whose sum is σ = 4283072640. Its totient is φ = 427991040.

The previous prime is 1453648387. The next prime is 1453648433. The reversal of 1453648416 is 6148463541.

It is a super-4 number, since 4×1453648416⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8402506 + ... + 8402678.

It is an arithmetic number, because the mean of its divisors is an integer number (22307670).

Almost surely, 2^1453648416 is an apocalyptic number.

1453648416 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 1453648416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141536320).

1453648416 is an abundant number, since it is smaller than the sum of its proper divisors (2829424224).

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

1453648416 is a wasteful number, since it uses less digits than its factorization.

1453648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1453648416 is about 38126.7414815376. The cubic root of 1453648416 is about 1132.7997029509.

The spelling of 1453648416 in words is "one billion, four hundred fifty-three million, six hundred forty-eight thousand, four hundred sixteen".