1453147920 has 180 divisors, whose sum is σ = 5677052940. Its totient is φ = 332140032.

The previous prime is 1453147919. The next prime is 1453147933. The reversal of 1453147920 is 297413541.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 1298593296 = 12432^2 + 36036^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1453147920² = 4223277754800652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14686 + ... + 55874.

It is an arithmetic number, because the mean of its divisors is an integer number (31539183).

Almost surely, 2^1453147920 is an apocalyptic number.

1453147920 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 1453147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838526470).

1453147920 is an abundant number, since it is smaller than the sum of its proper divisors (4223905020).

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

1453147920 is a wasteful number, since it uses less digits than its factorization.

1453147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41222 (or 41206 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1453147920 is about 38120.1773343199. The cubic root of 1453147920 is about 1132.6696791213.

The spelling of 1453147920 in words is "one billion, four hundred fifty-three million, one hundred forty-seven thousand, nine hundred twenty".