1354444000 has 288 divisors, whose sum is σ = 4164084288. Its totient is φ = 421632000.

The previous prime is 1354443983. The next prime is 1354444031. The reversal of 1354444000 is 4444531.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

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, 22203970 + ... + 22204030.

It is an arithmetic number, because the mean of its divisors is an integer number (14458626).

Almost surely, 2^1354444000 is an apocalyptic number.

1354444000 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 1354444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082042144).

1354444000 is an abundant number, since it is smaller than the sum of its proper divisors (2809640288).

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

1354444000 is an equidigital number, since it uses as much as digits as its factorization.

1354444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1354444000 is about 36802.7716347560. The cubic root of 1354444000 is about 1106.4208499039.

Adding to 1354444000 its reverse (4444531), we get a palindrome (1358888531).

The spelling of 1354444000 in words is "one billion, three hundred fifty-four million, four hundred forty-four thousand".