1453158400 has 156 divisors (see below), whose sum is σ = 3766156272. Its totient is φ = 555089920.

The previous prime is 1453158397. The next prime is 1453158401. The reversal of 1453158400 is 48513541.

It is a super-2 number, since 2×1453158400² = 4223338670981120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453158401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2354892 + ... + 2355508.

Almost surely, 2^1453158400 is an apocalyptic number.

1453158400 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 1453158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883078136).

1453158400 is an abundant number, since it is smaller than the sum of its proper divisors (2312997872).

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

1453158400 is an equidigital number, since it uses as much as digits as its factorization.

1453158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 1453158400 is about 38120.3147940832. The cubic root of 1453158400 is about 1132.6724020260.

The spelling of 1453158400 in words is "one billion, four hundred fifty-three million, one hundred fifty-eight thousand, four hundred".