1409950080 has 864 divisors, whose sum is σ = 6497028720. Its totient is φ = 275742720.

The previous prime is 1409950049. The next prime is 1409950093. The reversal of 1409950080 is 800599041.

1409950080 is a `hidden beast` number, since 140 + 9 + 9 + 500 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 82938232 + ... + 82938248.

Almost surely, 2^1409950080 is an apocalyptic number.

1409950080 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 1409950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248514360).

1409950080 is an abundant number, since it is smaller than the sum of its proper divisors (5087078640).

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

1409950080 is a wasteful number, since it uses less digits than its factorization.

1409950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

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

The square root of 1409950080 is about 37549.3019908493. The cubic root of 1409950080 is about 1121.3329368225.

The spelling of 1409950080 in words is "one billion, four hundred nine million, nine hundred fifty thousand, eighty".