1453134400 has 63 divisors (see below), whose sum is σ = 3579374731. Its totient is φ = 580643840.

The previous prime is 1453134377. The next prime is 1453134401. The reversal of 1453134400 is 44313541.

The square root of 1453134400 is 38120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72863296 + 1380271104 = 8536^2 + 37152^2 .

It is a super-2 number, since 2×1453134400² = 4223199168926720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1453134401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1524324 + ... + 1525276.

Almost surely, 2^1453134400 is an apocalyptic number.

1453134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1453134400 is the 38120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453134400

1453134400 is an abundant number, since it is smaller than the sum of its proper divisors (2126240331).

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

1453134400 is an frugal number, since it uses more digits than its factorization.

1453134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 1453134400 is about 1132.6661663471. Note that the first 3 decimals are identical.

Multiplying 1453134400 by its sum of digits (25), we get a square (36328360000 = 190600²).

1453134400 divided by its sum of digits (25) gives a square (58125376 = 7624²).

Adding to 1453134400 its reverse (44313541), we get a palindrome (1497447941).

The spelling of 1453134400 in words is "one billion, four hundred fifty-three million, one hundred thirty-four thousand, four hundred".