1354890240 has 528 divisors, whose sum is σ = 5357899680. Its totient is φ = 328458240.

The previous prime is 1354890221. The next prime is 1354890241. The reversal of 1354890240 is 420984531.

1354890240 is a `hidden beast` number, since 1 + 3 + 548 + 90 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1354890195 and 1354890204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354890241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123171835 + ... + 123171845.

Almost surely, 2^1354890240 is an apocalyptic number.

1354890240 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 1354890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678949840).

1354890240 is an abundant number, since it is smaller than the sum of its proper divisors (4003009440).

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

1354890240 is an frugal number, since it uses more digits than its factorization.

1354890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1354890240 is about 36808.8337223553. The cubic root of 1354890240 is about 1106.5423450286.

Multiplying 1354890240 by its product of nonzero digits (34560), we get a square (46825006694400 = 6842880²).

1354890240 divided by its product of nonzero digits (34560) gives a square (39204 = 198²).

The spelling of 1354890240 in words is "one billion, three hundred fifty-four million, eight hundred ninety thousand, two hundred forty".