1354414000 has 80 divisors (see below), whose sum is σ = 3351348000. Its totient is φ = 529132800.

The previous prime is 1354413961. The next prime is 1354414013. The reversal of 1354414000 is 4144531.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78126 + ... + 93874.

It is an arithmetic number, because the mean of its divisors is an integer number (41891850).

Almost surely, 2^1354414000 is an apocalyptic number.

1354414000 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 1354414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675674000).

1354414000 is an abundant number, since it is smaller than the sum of its proper divisors (1996934000).

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

1354414000 is a wasteful number, since it uses less digits than its factorization.

1354414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15815 (or 15799 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1354414000 is about 36802.3640545006. The cubic root of 1354414000 is about 1106.4126810241.

Adding to 1354414000 its reverse (4144531), we get a palindrome (1358558531).

The spelling of 1354414000 in words is "one billion, three hundred fifty-four million, four hundred fourteen thousand".