1453124400 has 360 divisors, whose sum is σ = 5834407824. Its totient is φ = 306432000.

The previous prime is 1453124381. The next prime is 1453124401. The reversal of 1453124400 is 44213541.

1453124400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453124400² = 4223141043750720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1453124401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763450 + ... + 765350.

Almost surely, 2^1453124400 is an apocalyptic number.

1453124400 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 1453124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917203912).

1453124400 is an abundant number, since it is smaller than the sum of its proper divisors (4381283424).

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

1453124400 is a wasteful number, since it uses less digits than its factorization.

1453124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1453124400 is about 38119.8688350314. The cubic root of 1453124400 is about 1132.6635681273.

Adding to 1453124400 its reverse (44213541), we get a palindrome (1497337941).

The spelling of 1453124400 in words is "one billion, four hundred fifty-three million, one hundred twenty-four thousand, four hundred".