9925257240 has 384 divisors, whose sum is σ = 35517081600. Its totient is φ = 2485831680.

The previous prime is 9925257227. The next prime is 9925257253. The reversal of 9925257240 is 427525299.

It is an interprime number because it is at equal distance from previous prime (9925257227) and next prime (9925257253).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41183520 + ... + 41183760.

It is an arithmetic number, because the mean of its divisors is an integer number (92492400).

Almost surely, 2^9925257240 is an apocalyptic number.

9925257240 is a gapful number since it is divisible by the number (90) 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 9925257240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758540800).

9925257240 is an abundant number, since it is smaller than the sum of its proper divisors (25591824360).

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

9925257240 is a wasteful number, since it uses less digits than its factorization.

9925257240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9925257240 is about 99625.5852680425. The cubic root of 9925257240 is about 2149.0536480507.

The spelling of 9925257240 in words is "nine billion, nine hundred twenty-five million, two hundred fifty-seven thousand, two hundred forty".