1254191040 has 252 divisors, whose sum is σ = 4509171576. Its totient is φ = 331817472.

The previous prime is 1254191039. The next prime is 1254191047. The reversal of 1254191040 is 401914521.

1254191040 is a `hidden beast` number, since 12 + 541 + 9 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1254190995 and 1254191013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254191047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9875457 + ... + 9875583.

It is an arithmetic number, because the mean of its divisors is an integer number (17893538).

Almost surely, 2^1254191040 is an apocalyptic number.

1254191040 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 1254191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254585788).

1254191040 is an abundant number, since it is smaller than the sum of its proper divisors (3254980536).

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

1254191040 is an frugal number, since it uses more digits than its factorization.

1254191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

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

The square root of 1254191040 is about 35414.5597177206. The cubic root of 1254191040 is about 1078.4199116095.

The spelling of 1254191040 in words is "one billion, two hundred fifty-four million, one hundred ninety-one thousand, forty".