1409054864 has 80 divisors (see below), whose sum is σ = 3171332736. Its totient is φ = 594048000.

The previous prime is 1409054863. The next prime is 1409054879. The reversal of 1409054864 is 4684509041.

It is not an unprimeable number, because it can be changed into a prime (1409054863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009714 + ... + 2010414.

Almost surely, 2^1409054864 is an apocalyptic number.

1409054864 is a gapful number since it is divisible by the number (14) 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 1409054864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585666368).

1409054864 is an abundant number, since it is smaller than the sum of its proper divisors (1762277872).

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

1409054864 is a wasteful number, since it uses less digits than its factorization.

1409054864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 1409054864 is about 37537.3795569163. The cubic root of 1409054864 is about 1121.0955648924.

The spelling of 1409054864 in words is "one billion, four hundred nine million, fifty-four thousand, eight hundred sixty-four".