1009466640 has 720 divisors, whose sum is σ = 4445715456. Its totient is φ = 203212800.

The previous prime is 1009466639. The next prime is 1009466659. The reversal of 1009466640 is 466649001.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009466595 and 1009466604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217805 + ... + 14217875.

Almost surely, 2^1009466640 is an apocalyptic number.

1009466640 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 1009466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222857728).

1009466640 is an abundant number, since it is smaller than the sum of its proper divisors (3436248816).

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

1009466640 is a wasteful number, since it uses less digits than its factorization.

1009466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1009466640 is about 31772.1047461448. The cubic root of 1009466640 is about 1003.1456412325.

The spelling of 1009466640 in words is "one billion, nine million, four hundred sixty-six thousand, six hundred forty".