1250649540 has 432 divisors, whose sum is σ = 4929724800. Its totient is φ = 254306304.

The previous prime is 1250649503. The next prime is 1250649577. The reversal of 1250649540 is 459460521.

1250649540 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 649 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1250649503) and next prime (1250649577).

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 = 1250649495 and 1250649504.

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, 2848641 + ... + 2849079.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2^1250649540 is an apocalyptic number.

1250649540 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 1250649540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464862400).

1250649540 is an abundant number, since it is smaller than the sum of its proper divisors (3679075260).

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

1250649540 is a wasteful number, since it uses less digits than its factorization.

1250649540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1250649540 is about 35364.5237490907. The cubic root of 1250649540 is about 1077.4038982411.

The spelling of 1250649540 in words is "one billion, two hundred fifty million, six hundred forty-nine thousand, five hundred forty".