1354456224 has 144 divisors (see below), whose sum is σ = 4222501920. Its totient is φ = 408430080.

The previous prime is 1354456219. The next prime is 1354456231. The reversal of 1354456224 is 4226544531.

1354456224 is a `hidden beast` number, since 1 + 35 + 44 + 562 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724539 + ... + 726405.

It is an arithmetic number, because the mean of its divisors is an integer number (29322930).

Almost surely, 2^1354456224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111250960).

1354456224 is an abundant number, since it is smaller than the sum of its proper divisors (2868045696).

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

1354456224 is a wasteful number, since it uses less digits than its factorization.

1354456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2112 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 1354456224 is about 36802.9377088297. The cubic root of 1354456224 is about 1106.4241784155.

The spelling of 1354456224 in words is "one billion, three hundred fifty-four million, four hundred fifty-six thousand, two hundred twenty-four".