1453361952 has 144 divisors (see below), whose sum is σ = 4453989120. Its totient is φ = 413747712.

The previous prime is 1453361947. The next prime is 1453361957. The reversal of 1453361952 is 2591633541.

It is an interprime number because it is at equal distance from previous prime (1453361947) and next prime (1453361957).

It is a super-2 number, since 2×1453361952² = 4224521927042500608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1453361952.

It is not an unprimeable number, because it can be changed into a prime (1453361957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2394033 + ... + 2394639.

It is an arithmetic number, because the mean of its divisors is an integer number (30930480).

Almost surely, 2^1453361952 is an apocalyptic number.

1453361952 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 1453361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226994560).

1453361952 is an abundant number, since it is smaller than the sum of its proper divisors (3000627168).

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

1453361952 is a wasteful number, since it uses less digits than its factorization.

1453361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1128 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 1453361952 is about 38122.9845631215. The cubic root of 1453361952 is about 1132.7252861365.

The spelling of 1453361952 in words is "one billion, four hundred fifty-three million, three hundred sixty-one thousand, nine hundred fifty-two".