1412957952 has 576 divisors, whose sum is σ = 5298048000. Its totient is φ = 362299392.

The previous prime is 1412957947. The next prime is 1412957977. The reversal of 1412957952 is 2597592141.

1412957952 is a `hidden beast` number, since 1 + 4 + 1 + 29 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1412957898 and 1412957907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26659558 + ... + 26659610.

It is an arithmetic number, because the mean of its divisors is an integer number (9198000).

Almost surely, 2^1412957952 is an apocalyptic number.

1412957952 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 1412957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024000).

1412957952 is an abundant number, since it is smaller than the sum of its proper divisors (3885090048).

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

1412957952 is a wasteful number, since it uses less digits than its factorization.

1412957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 1412957952 is about 37589.3329549754. The cubic root of 1412957952 is about 1122.1297570771.

The spelling of 1412957952 in words is "one billion, four hundred twelve million, nine hundred fifty-seven thousand, nine hundred fifty-two".