1455251952 has 640 divisors, whose sum is σ = 5553930240. Its totient is φ = 316293120.

The previous prime is 1455251951. The next prime is 1455251957. The reversal of 1455251952 is 2591525541.

It is a self number, because there is not a number n which added to its sum of digits gives 1455251952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455251951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27457558 + ... + 27457610.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016).

Almost surely, 2^1455251952 is an apocalyptic number.

1455251952 is a gapful number since it is divisible by the number (12) 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 1455251952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776965120).

1455251952 is an abundant number, since it is smaller than the sum of its proper divisors (4098678288).

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

1455251952 is a wasteful number, since it uses less digits than its factorization.

1455251952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 90000, while the sum is 39.

The square root of 1455251952 is about 38147.7647051567. The cubic root of 1455251952 is about 1133.2160846025.

The spelling of 1455251952 in words is "one billion, four hundred fifty-five million, two hundred fifty-one thousand, nine hundred fifty-two".