1354448480 has 384 divisors, whose sum is σ = 4389396480. Its totient is φ = 381911040.

The previous prime is 1354448467. The next prime is 1354448503. The reversal of 1354448480 is 848444531.

It is a super-3 number, since 3×1354448480³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073649 + ... + 6073871.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2^1354448480 is an apocalyptic number.

1354448480 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 1354448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

1354448480 is an abundant number, since it is smaller than the sum of its proper divisors (3034948000).

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

1354448480 is a wasteful number, since it uses less digits than its factorization.

1354448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 1354448480 is about 36802.8324996868. The cubic root of 1354448480 is about 1106.4220697796.

The spelling of 1354448480 in words is "one billion, three hundred fifty-four million, four hundred forty-eight thousand, four hundred eighty".