1453434400 has 288 divisors, whose sum is σ = 4157733888. Its totient is φ = 490828800.

The previous prime is 1453434391. The next prime is 1453434413. The reversal of 1453434400 is 44343541.

It is a super-2 number, since 2×1453434400² = 4224943110206720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8703117 + ... + 8703283.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^1453434400 is an apocalyptic number.

1453434400 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 1453434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

1453434400 is an abundant number, since it is smaller than the sum of its proper divisors (2704299488).

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

1453434400 is a wasteful number, since it uses less digits than its factorization.

1453434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1453434400 is about 38123.9347392160. The cubic root of 1453434400 is about 1132.7441073985.

Adding to 1453434400 its reverse (44343541), we get a palindrome (1497777941).

It can be divided in two parts, 14534 and 34400, that multiplied together give a square (499969600 = 22360²).

The spelling of 1453434400 in words is "one billion, four hundred fifty-three million, four hundred thirty-four thousand, four hundred".