1354983840 has 288 divisors, whose sum is σ = 5316554880. Its totient is φ = 307832832.

The previous prime is 1354983829. The next prime is 1354983863. The reversal of 1354983840 is 483894531.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1354983840² = 3671962413322291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2308027 + ... + 2308613.

It is an arithmetic number, because the mean of its divisors is an integer number (18460260).

Almost surely, 2^1354983840 is an apocalyptic number.

1354983840 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 1354983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658277440).

1354983840 is an abundant number, since it is smaller than the sum of its proper divisors (3961571040).

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

1354983840 is a wasteful number, since it uses less digits than its factorization.

1354983840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1354983840 is about 36810.1051343242. The cubic root of 1354983840 is about 1106.5678255621.

The spelling of 1354983840 in words is "one billion, three hundred fifty-four million, nine hundred eighty-three thousand, eight hundred forty".