1454465952 has 72 divisors (see below), whose sum is σ = 4161646944. Its totient is φ = 481832064.

The previous prime is 1454465891. The next prime is 1454465963. The reversal of 1454465952 is 2595644541.

1454465952 is a `hidden beast` number, since 1 + 4 + 54 + 4 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1454465898 and 1454465907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31453 + ... + 62435.

It is an arithmetic number, because the mean of its divisors is an integer number (57800652).

Almost surely, 2^1454465952 is an apocalyptic number.

1454465952 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 1454465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080823472).

1454465952 is an abundant number, since it is smaller than the sum of its proper divisors (2707180992).

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

1454465952 is a wasteful number, since it uses less digits than its factorization.

1454465952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31162 (or 31151 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 1454465952 is about 38137.4612684169. The cubic root of 1454465952 is about 1133.0120264094.

The spelling of 1454465952 in words is "one billion, four hundred fifty-four million, four hundred sixty-five thousand, nine hundred fifty-two".