1455250160 has 320 divisors, whose sum is σ = 4417217280. Its totient is φ = 433520640.

The previous prime is 1455250123. The next prime is 1455250169. The reversal of 1455250160 is 610525541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455250169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12878264 + ... + 12878376.

It is an arithmetic number, because the mean of its divisors is an integer number (13803804).

Almost surely, 2^1455250160 is an apocalyptic number.

1455250160 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 1455250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

1455250160 is an abundant number, since it is smaller than the sum of its proper divisors (2961967120).

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

1455250160 is a wasteful number, since it uses less digits than its factorization.

1455250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 1455250160 is about 38147.7412175348. The cubic root of 1455250160 is about 1133.2156194542.

The spelling of 1455250160 in words is "one billion, four hundred fifty-five million, two hundred fifty thousand, one hundred sixty".