1354269840 has 720 divisors, whose sum is σ = 5816681280. Its totient is φ = 257402880.

The previous prime is 1354269803. The next prime is 1354269841. The reversal of 1354269840 is 489624531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1354269792 and 1354269801.

It is not an unprimeable number, because it can be changed into a prime (1354269841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46698946 + ... + 46698974.

It is an arithmetic number, because the mean of its divisors is an integer number (8078724).

Almost surely, 2^1354269840 is an apocalyptic number.

1354269840 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 1354269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908340640).

1354269840 is an abundant number, since it is smaller than the sum of its proper divisors (4462411440).

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

1354269840 is a wasteful number, since it uses less digits than its factorization.

1354269840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1354269840 is about 36800.4054325492. The cubic root of 1354269840 is about 1106.3734251513.

The spelling of 1354269840 in words is "one billion, three hundred fifty-four million, two hundred sixty-nine thousand, eight hundred forty".