1409059008 has 336 divisors, whose sum is σ = 4982163264. Its totient is φ = 371589120.

The previous prime is 1409058953. The next prime is 1409059009. The reversal of 1409059008 is 8009509041.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1409059009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181016 + ... + 4181352.

Almost surely, 2^1409059008 is an apocalyptic number.

1409059008 is a gapful number since it is divisible by the number (18) 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 1409059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491081632).

1409059008 is an abundant number, since it is smaller than the sum of its proper divisors (3573104256).

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

1409059008 is a wasteful number, since it uses less digits than its factorization.

1409059008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1409059008 is about 37537.4347551881. The cubic root of 1409059008 is about 1121.0966639307.

The spelling of 1409059008 in words is "one billion, four hundred nine million, fifty-nine thousand, eight".