251346461940 has 576 divisors, whose sum is σ = 933098310144. Its totient is φ = 55593050112.

The previous prime is 251346461939. The next prime is 251346461941. The reversal of 251346461940 is 49164643152.

251346461940 is a `hidden beast` number, since 2 + 513 + 4 + 6 + 46 + 1 + 94 + 0 = 666.

251346461940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251346461939) and next prime (251346461941).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251346461941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293285992 + ... + 293286848.

It is an arithmetic number, because the mean of its divisors is an integer number (1619962344).

Almost surely, 2^251346461940 is an apocalyptic number.

251346461940 is a gapful number since it is divisible by the number (20) 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 251346461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466549155072).

251346461940 is an abundant number, since it is smaller than the sum of its proper divisors (681751848204).

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

251346461940 is a wasteful number, since it uses less digits than its factorization.

251346461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 251346461940 in words is "two hundred fifty-one billion, three hundred forty-six million, four hundred sixty-one thousand, nine hundred forty".