1414469952 has 392 divisors, whose sum is σ = 4957218432. Its totient is φ = 391910400.

The previous prime is 1414469951. The next prime is 1414469999. The reversal of 1414469952 is 2599644141.

It is a super-2 number, since 2×1414469952² = 4001450490221764608, which contains 22 as substring.

Its product of digits (311040) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1414469898 and 1414469907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414469951) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19922077 + ... + 19922147.

Almost surely, 2^1414469952 is an apocalyptic number.

1414469952 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 1414469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478609216).

1414469952 is an abundant number, since it is smaller than the sum of its proper divisors (3542748480).

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

1414469952 is an frugal number, since it uses more digits than its factorization.

1414469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1414469952 is about 37609.4396661264. The cubic root of 1414469952 is about 1122.5298764045.

The spelling of 1414469952 in words is "one billion, four hundred fourteen million, four hundred sixty-nine thousand, nine hundred fifty-two".