1354616440 has 64 divisors (see below), whose sum is σ = 3266192160. Its totient is φ = 503808000.

The previous prime is 1354616437. The next prime is 1354616443. The reversal of 1354616440 is 446164531.

It is an interprime number because it is at equal distance from previous prime (1354616437) and next prime (1354616443).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1354616396 and 1354616405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354616443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44440 + ... + 68440.

Almost surely, 2^1354616440 is an apocalyptic number.

1354616440 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 1354616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633096080).

1354616440 is an abundant number, since it is smaller than the sum of its proper divisors (1911575720).

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

1354616440 is a wasteful number, since it uses less digits than its factorization.

1354616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112 (or 24108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1354616440 is about 36805.1143185292. The cubic root of 1354616440 is about 1106.4678022856.

The spelling of 1354616440 in words is "one billion, three hundred fifty-four million, six hundred sixteen thousand, four hundred forty".