1455066240 has 256 divisors, whose sum is σ = 4811788800. Its totient is φ = 373800960.

The previous prime is 1455066233. The next prime is 1455066247. The reversal of 1455066240 is 426605541.

It is an interprime number because it is at equal distance from previous prime (1455066233) and next prime (1455066247).

It is not an unprimeable number, because it can be changed into a prime (1455066247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8038950 + ... + 8039130.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^1455066240 is an apocalyptic number.

1455066240 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 1455066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1455066240 is an abundant number, since it is smaller than the sum of its proper divisors (3356722560).

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

1455066240 is a wasteful number, since it uses less digits than its factorization.

1455066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1455066240 is about 38145.3305137077. The cubic root of 1455066240 is about 1133.1678774225.

The spelling of 1455066240 in words is "one billion, four hundred fifty-five million, sixty-six thousand, two hundred forty".