1453971376 has 160 divisors (see below), whose sum is σ = 3627892800. Its totient is φ = 553943040.

The previous prime is 1453971317. The next prime is 1453971377. The reversal of 1453971376 is 6731793541.

It is a super-2 number, since 2×1453971376² = 4228065524454666752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1453971377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127340 + ... + 1128628.

It is an arithmetic number, because the mean of its divisors is an integer number (22674330).

Almost surely, 2^1453971376 is an apocalyptic number.

1453971376 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 1453971376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813946400).

1453971376 is an abundant number, since it is smaller than the sum of its proper divisors (2173921424).

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

1453971376 is a wasteful number, since it uses less digits than its factorization.

1453971376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its digits is 476280, while the sum is 46.

The square root of 1453971376 is about 38130.9765938403. The cubic root of 1453971376 is about 1132.8835888703.

The spelling of 1453971376 in words is "one billion, four hundred fifty-three million, nine hundred seventy-one thousand, three hundred seventy-six".