1509400080 has 240 divisors, whose sum is σ = 5415081984. Its totient is φ = 375459840.

The previous prime is 1509400031. The next prime is 1509400133. The reversal of 1509400080 is 800049051.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553995 + ... + 1554965.

Almost surely, 2^1509400080 is an apocalyptic number.

1509400080 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 1509400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707540992).

1509400080 is an abundant number, since it is smaller than the sum of its proper divisors (3905681904).

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

1509400080 is a wasteful number, since it uses less digits than its factorization.

1509400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1509400080 is about 38850.9984427685. The cubic root of 1509400080 is about 1147.1004660877.

The spelling of 1509400080 in words is "one billion, five hundred nine million, four hundred thousand, eighty".