1409954560 has 144 divisors (see below), whose sum is σ = 3965000256. Its totient is φ = 470237184.

The previous prime is 1409954519. The next prime is 1409954561. The reversal of 1409954560 is 654599041.

It is a super-2 number, since 2×1409954560² = 3975943722529587200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1409954561) 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, 329394 + ... + 333646.

It is an arithmetic number, because the mean of its divisors is an integer number (27534724).

Almost surely, 2^1409954560 is an apocalyptic number.

1409954560 is a gapful number since it is divisible by the number (10) 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 1409954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982500128).

1409954560 is an abundant number, since it is smaller than the sum of its proper divisors (2555045696).

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

1409954560 is an equidigital number, since it uses as much as digits as its factorization.

1409954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 1409954560 is about 37549.3616457058. The cubic root of 1409954560 is about 1121.3341244689.

The spelling of 1409954560 in words is "one billion, four hundred nine million, nine hundred fifty-four thousand, five hundred sixty".