1409475456 has 96 divisors (see below), whose sum is σ = 4105057320. Its totient is φ = 464133120.

The previous prime is 1409475451. The next prime is 1409475479. The reversal of 1409475456 is 6545749041.

1409475456 is a `hidden beast` number, since 1 + 40 + 94 + 75 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1409475456² = 3973242122132815872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409475451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88246 + ... + 102986.

Almost surely, 2^1409475456 is an apocalyptic number.

1409475456 is a gapful number since it is divisible by the number (16) 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 1409475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052528660).

1409475456 is an abundant number, since it is smaller than the sum of its proper divisors (2695581864).

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

1409475456 is a wasteful number, since it uses less digits than its factorization.

1409475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1409475456 is about 37542.9814479351. The cubic root of 1409475456 is about 1121.2070999198.

The spelling of 1409475456 in words is "one billion, four hundred nine million, four hundred seventy-five thousand, four hundred fifty-six".