1455114240 has 384 divisors, whose sum is σ = 5464368000. Its totient is φ = 366280704.

The previous prime is 1455114223. The next prime is 1455114247. The reversal of 1455114240 is 424115541.

1455114240 is a `hidden beast` number, since 145 + 511 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455114247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5252982 + ... + 5253258.

It is an arithmetic number, because the mean of its divisors is an integer number (14230125).

Almost surely, 2^1455114240 is an apocalyptic number.

1455114240 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 1455114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732184000).

1455114240 is an abundant number, since it is smaller than the sum of its proper divisors (4009253760).

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

1455114240 is a wasteful number, since it uses less digits than its factorization.

1455114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1455114240 is about 38145.9596812035. The cubic root of 1455114240 is about 1133.1803376708.

Adding to 1455114240 its reverse (424115541), we get a palindrome (1879229781).

The spelling of 1455114240 in words is "one billion, four hundred fifty-five million, one hundred fourteen thousand, two hundred forty".